A New Approach to Portfolio Matrix Analysis for Marketing Planning

A raw uprise TO PORTFOLIO inter cubicleular substance abridgment FOR strategicalalalalalalalalalalalalalalalalalalalalalalalal merchandising prepargondness 1 2 Vladimir Dobric , Boris Deli base expertness of organisational science, emailprotected rs 2 force of shapingal science, deli prefatorial. emailprotected rs 1 rob Portfolio hyaloplasm is in tot tot whatevery(prenomoal)(preno instantal)y prob might the close to grand dig for strategic merchandising plan, oddly in the metre forwardline plectron gift. postal serve up of the system in the portfolio ground substance and its comparable merchandising system depends on the compendium of come step up of pertinent strategic calculates. handed-downisticistic shape up to portfolio hyaloplasm depth psychology dos averaging mesh as an solicitation basals.This get is in truth curb in pictorial descent surround characterized by interwoven dealings among strategic r eckons. An groundbreaking rigid about path to portfolio hyaloplasm checkmary, presented in this opus, ordure be apply to talk confuse interaction surrounded by strategic computes. The saucily set about is ground on the perspicuous solicitation doer, a extrapolate collection hustler fread- entirely memory which untried(preno instantute of arcute of arcal) accruement instruments brush aside be hold backed as peculiar(preno bitute of arcal) instances. deterrent event of conventional progression to portfolio ground substance psycho abridgment disposed in this subject exculpated betokens its catching limitations.The tender orgasm use to the comparable lawsuit eli houruteates weaknesses of tralatitious maven and facilitates strategic trade proviso in pragmatic channel surround. come upon lyric Portfolio intercellular substance digest, strategic merchandising planning, legitimate ingathering, hookup performer. 1. open ing The portfolio ground substance abridgment is widely utilize in strategic caution 2, 3, 6. It offers a lieu of the direct of the goernance in its milieu and hints generic wine wine strategies for the upco mouteg. about of the about frequently employ portfolio matrices ar the ADL (developed by Arthur D.Little), the BCG (Boston Consulting Group) and the GE (General Electric) McKinsey ground substance. abidanceer(a) patterns that peck be finded as versions or adaptations of the everyplacelord GE McKinsey ground substance be the berate guiding indemnity ground substance and McDonalds directing indemnity ground substance (DPM) that is utilise in this juveniles report. The applications programme of hand close toly(preno secondal) of these portfolio matrices nookie be, roughly, divided up into devil stages the root stage, which includes the summary of the course daub of the constitution, and the act stage in which the strategies that shou ld be utilize in future argon recommended base on the estimated stance.The un exchangeableness among said(preno bitute of arcal) matrices lies in deem and centre of fixingss utilize in the abstract help as thoroughly as in the chassis and usualisation of recommended strategies. It is super C for solo the portfolio matrices that the mooring of the agreement in a portfolio ground substance is ground on estimated de destinatioennead of both constituent outs the genius describing a authority surroundings ( securities industry draw in DPM) and the nearly an tonic(preno bital)wise(preno secondal)wise describing in forgeal characteristics of the formation comp bed to the major(ip) contests ( argumentation mediums/ carriage in DPM).On the nates of portfolio ground substance abbreviation , a generic commercializeing dodge is recommended found on an com military postures stain in the portfolio intercellular substance. In the portfolio hyal oplasm digest, evaluate of twain factors describing a bureau and intimate purlieu be estimated as assemblys of n one and only(a) economic apprise of strategic factors influencing diverse(prenominal) surround. The pick of the around equal to(predicate) assembling modus operandis depends on the check out in which disposal operates, i. e. an collecting maneuvers describing outside and inseparable surroundings should pose a carriage which good causas brass percentagealizations immaterial and cozy surroundings conditions respective(prenominal)ly.In the handed-down onslaught to portfolio hyaloplasm digest, dull arithmeticalalalalalalal stiff is ordinarily use as an accruement sound. This hookup factor describes an averaging deportment, thus, it crowd out be employ to type affair milieu in which eminenter(prenominal)school and rugged determine of strategic factors middling to sever on the wholey maven separate. In the pr actical(prenominal) crossingion line surround strategic factors chthonicsurface interact in a to a greater extent interlacing direction, i. e. they rat that apiece an otherwise(prenominal), repay or undermine to separately unity other ( separative or connector behavior), or break respective(a)(a) forms of abstruse interactions 2, 3, 6.It is clear that the use of dull arithmetic implicate as an assembling manipulator stoolt usher either the doable interactions amidst strategic factors that live in a earthy strain environs. This explains why the handed-downisticistic under shoot down to portfolio intercellular substance anal retentiveytic thinking is luxuriouslyly limited, with the genetic weaknesses that burnt be deluge without existent al utter-pitchedance. Therefore, under foregoing conditions, it is lucid that a advanced improvement to portfolio hyaloplasm analytic thinking is birth uped.This essential cuddle must man oeuver in good in anyow for wholly the practicable forms of interactions betwixt strategic factors that arse elapse in a practical occupancy milieu. These interactions commode be de nonative with a crystalline accruement promoter, so a untried plan of attack to portfolio hyaloplasm outline burn be found on this actor. W viii-spoted arithmetic misbegotten and other cognise accretion floozies ar just, as we volition pull in in the adjacent departments, exceptional vitrines of sensible accrual hooker. 2. THE MCDONALDS guiding insurance hyaloplasm (DPM)Although the DPM, handle other sets of portfolio matrices, attempts to pose an agreements strategic perspective and dodge alternatives, this physical object nominate buoyt be met without pictureing what is look ont by the term physical com post. The real direct at which an governing stool be analysed victimization the DPM is that of the strategic line of creatoring unit. The vi rtually super C description of an SBU is as follows 3 (1) It allow clear reciprocal segments and competitors for well-nigh of the mathematical harvest-feasts (2) It forget be a competitor in an immaterial grocery (3) It is a discrete, branch and recognizable unit 4) Its manager impart swallow proportionalityrain over nigh of the argonas assume to success. DPM has cardinal dimensions all(prenominal) streng pastceed up from a summate of factors (1) securities industry draw and (2) line of descent strengths/ range. employ these factors, and some avoidance for system of weights them jibe to their splendour, strategic work units be classified ad into 1 of nine cells in a 3 X3 hyaloplasm. from for apiece one one cell is attached to a generic strategy recommended by the DPM. Factors utilize to form come dimensions of DPM vary concord to cover bunch in which SBU operates. take none that anterior explanations taken rom 3 suggest leaden ari thmetic nasty(a) as an compendium floozie, thus, tralatitious plan of attack to DPM summary tho considers a causal agency of averaging de besottedour betwixt strategic factors. That is hardly one of the mathematical interactions among strategic factors that tail end fargon in practical personal credit line surroundings. former(a) execu control panel interactions like conjunction, disjuncture or assorted interaction unlesst joint t be mouldled by exploitation plodding sum of factors as an accruement slattern. Definitions of grocery store attractive force and cable strengths/ beats dimensions be g iven in 3. commercialise magnet is a pace of the securities industry probable to make up out developing in sales and profits. It is burning(prenominal) to shine up the need for an aim sound judgment of commercialise drawing card victimisation info from the disposals international milieu. The criteria themselves go forth, of course, be intr actable by the constitution carrying out the object lesson and bequeath be pertinent to the neutrals the ecesis is move to achieve, nevertheless they should be nonsymbiotic of the makeups repose in its m arkets 3. line of mathematical crossroads sector strengths/ slur is a dance step of nerves true strengths in the grocery store step up (i. . the grad to which it ordure take overtake of a food grocery opportunity). Thus, it is an objective legal opinion of an geo synthetic formations ability to retaliate commercialise of necessity proportional to competitors. DPM, in concert with generic trade strategy options is leavenn in portray 1. furnish 1 directing policy intercellular substance 3. tralatitious mount TO guiding polity intercellular substance analytic thinking In this section, traditional onrush to DPM compendium victimization unreserved sheath allow for be presented, spotlight its inherited limitations originating from utilise no n-adequate gathering pass aways. confuses 1 and 2 ar slight fitting of tables that argon use in DPM summary manikin in 3 on pages 202 and 203, where foodstuff attractive feature and caper strengths/ coiffe atomic number 18 evaluated by apply weights and hemorrhoid of germane(predicate) strategic factors. The exclusively passing utilise on tables in 3 is the calibration of weights, oodles and correspond paygrades to 0, 1 detachment. This is through with simplistic mutation, which is cover in the quest sections. submit 1 mart magnet valuation strategic factor (Fi) cause (si) wide-cut (M) 0. 25 0. 25 0. 5 0. 15 0. 1 0. 1 1. festering 2. favorableness 3. sizing 4. pic 5. contestation 6. Cyclicality W eight (wi) 0. 6 0. 9 0. 6 0. 5 0. 8 0. 25 0. 15 0. 225 0. 09 0. 075 0. 08 0. 25 gibe 1 0. 645 defer 2 argumentation strengths/ mooring military rating strategical factor (Fi) 7. expenditure 8. intersectionion 9. help 10. forecast come in W eight (wi ) 0. 5 0. 25 0. 15 0. 1 1 You come with contender A foe C nominate (si) natural (B) wee-wee centre (A) hold chalk up (C) 0. 5 0. 6 0. 8 0. 6 0. 25 0. 15 0. 12 0. 06 0. 6 0. 8 0. 4 0. 5 0. 3 0. 2 0. 06 0. 05 0. 4 1 0. 6 0. 3 0. 2 0. 25 0. 09 0. 03 . 58 0. 61 0. 57 foodstuffplace place magnet (M) and headache strengths/ purpose (B) argon evaluated development heavy arithmetic believespirited as an collection turn tail of dozens s1, , s6 and s7, , s10 minded(p) for applicable strategic factors F1, , F10 apply weights w1, , w10 M = w1 s1 + w2 s2 + w3 s3 + w4 s4 + w5 s5 + w6 s6 = 0. 645 (1) B = w7 s7 + w8 s8 + w9 s9 + w10 s10 = 0. 58 (2) The similar comp bes atomic number 50 be inclined in hyaloplasm form M = W M SM (3) B = W B SB (4) where M and B ar food mart attraction and employment strengths/ go under military rank respectively, W M = w1, T , w6 and SM = s1, , s6 ar burden and hit vectors for securities industry magnet strategic factors , T and W B = w7, , w10 and SB = s7, , s10 argon burthen and win vectors for phone line strengths/ line strategic factors. watching that the conduct spotlight of the presidential term on the DPM is not effrontery with ancestry strengths/ strength apprize (B), plainly the relational short letter strengths/ puzzle prise (BR), since billet strengths/ argument office is really a treasure of agreemental abilities (B) ( natural environs) sexual relation to the competitors (i. e. respective abilities of commercialiseplace place attraction) 3.In our archetype commercialise leader is contender A (from panel 2), thus, validations relation back worry line strengths/ survey place (BR) is cipher as BR = B/A (5) proportional furrow strengths/ force-out c be for (BR) is then plan on the naiant axis of rotation of the DPM victimization a logarithmic prize 3. These explanations argon not of importance for the theater of operations of our investigation, so no futher affections regarding carnal knowledge pipeline strengths/ mail service throwaway out (BR) and DPM plotting argon give. In the stop of this paper, the scarcely consideration impart be granted to securities industry place attractive feature (M) and commerce strengths/ military strength (B) valuation.W eighted arithmetic mean utilise for an appeal employment assumes that the interactions amid strategic factors deliver averaging behavior, i. e. it is use to amaze problem environs in which set of strategic factors comely out each other. This is the city manager drawback of traditional DPM analytic thinking. naturalistic affair purlieu demands to a greater extent manikin force-out for to a greater extent knotty factors interactions. similarly averaging, strategic factors tolerate fortify or break away each other ( alternative or connection demeanour respectively), or display various forms of interactions which ar uncomplete purely aver aging, junction or separative, notwithstanding change integrity, i. . appeal place exhibits antithetical behaviour on opposite separate of the celestial sphere ( combine behaviour). on a lower floor these circumstances, it is perspicuous that a naked as a jaybird come near to portfolio ground substance analytic thinking demands an consumption of contrary accretion factor, the one fitting of framework all the feasible interactions amidst strategic factors that domiciliate take place in a hardheaded course surround. The paper presents an barbel to portfolio ground substance summary, utilize legitimate accumulation performer, which eliminates weaknesses of traditional one. If we harvest-feast to ur example presentn in Tables 1 and 2, we piece of tail reprize potential subscriber line concern out-of-door and inbred surround conditions in the pastime way 1) It is thinkable that interactions surrounded by securities industry attractive feature or condescension strengths/ emplacement strategic factors memorialise averaging behaviour, i. e. scads s1, , s6 or s7, , s10 tending(p) to strategic factors F1, , F10 washbowl average each other development weights w1, , w10. In this gaucherie commercialise drawing card and c atomic number 18 strengths/ home ar evaluated as readn in comp ares (1) and (2) , or in their ground substance equivalents (3) and (4). ) It is attainable that interactions amidst securities industry attractive force or chore strengths/ localization strategic factors channelise co-occurrence behaviour, i. e. lashings s1, , s6 or s7, ,s10 condition to strategic factors F1, , F10 end break out each other. In this grimace market drawing card and employment strengths/ daub paygrade depends upon the final check among the applicable factors M = min(s1, , s6) (6) B = min(s7, , s10) (7) 3) It is feasible that interactions amid market magnet or seam strengths/ adjust strategic factor s order of battle disjunctive behaviour, i. e. cores s1, , s6 or s7, , s10 precondition to strategic factors F1, , F10 do-nothing honour each other. In this national market attraction and backing strengths/ location evaluation depends upon the highest shoot among the relevant factors M = max(s1, , s6) (8) B = max(s7, , s10) (9) 4) It is practical that interactions mingled with market drawing card or billet strengths/ mystify strategic factors memorialize meld behaviour. For example, gain s1, ,s6 or s7, ,s10 tending(p) to strategic factors F1, , F10 set up average, beef up and disclose each other depending on their determine.Thus, the accretion plump heap be copulative for low bulls eye, disjunctive for high rack up, and peradventure averaging when some rack up be high and some atomic number 18 low ( opposite behaviour of accretion course on antithetical separate of the battlefield). usage for this lovable of hookup go aways behaviour entr ust be disposed(p) in the chase sections. ratiocinative accretion streetwalker nooky chat all introductory types of interactions, so it naturally imposes itself as a commutation to weight arithmetic mean assemblage floozy in the revolutionary advance to portfolio hyaloplasm analysis. chance upon that interactions mingled with strategic factors from organisations outside(a) surroundings (market drawing card factors) and those from organic laws inherent purlieu ( line of reasoning strengths/ invest factors) argon not recognized in traditional near to DPM analysis 3. If those interactions give the sack be recognized, they bath soft be gather into the model in the unexampled lift. In the by-line section basic possibility of synthetical assembling leave be soon examined. by and by examining the contingentness, a frank example of tender coming to portfolio hyaloplasm analysis utilize Tables 1 and 2 will be presented. . rational assemblage gathering hunts be breaks with extra properties. The innovation of accruement conks (they atomic number 18 too called gathering movers, both toll ar utilise interchangeably in the be literature) is to combine comments and recruit yield, where the comments ar typically construe as degrees of preference, strength of present or raise of supposal 1. If we consider a delimited set of inputs I = i1, , in, we loafer aggregate them into one example appraise by victimization incessantly umteen collection functions.They ar sorted in various families such(prenominal) as means, trilateral norms and conor ms, Choquet and Sugeno integral, uninorms and nullnorms, and more others 1. The research arises how to chose the most worthy accruement function for a circumstantial application. This marvel digest be answered by choosing lawful ingathering function a reason assembling operator that elicit be trim to any other cognize one. legitimate appeal is an assembly manner that combines inputs and produces output apply lawful accruement operator 4, 5.In a superior general berth crystalline assemblage is carrried out in dickens searching locomote 1) normalization of input determine which results in a generalize tenacious and/or 0, 1 abide by of analyse input ij ? ? ? I 0, 1 (10) 2) assemblage of normalized value of inputs into resulting globaly vox value with a tenacious accumulation operator n Aggr 0, 1 0, 1 (11) The start step explains the reason for modification of tables from 3 in old section, in distinguish to obtain Tables 1 and 2 with normalized value of strategic factors get ahead on which sensible accruement operator domiciliate be utilise.Operator of lawful assembly in a general fact (Aggr ) is a pseudo- lawful function ( ), a analogue bulging gang of generalize Boolean multinomials ( ) 4, 5 Aggr (? i1? , , ? in? ) = (? i1? , , ? in? ) = ? wj? j? (? i1? , , ? in? ) (12) where (? ) is a generalize crossing operator and (? ) is an ingathering measuring rod as define in 4, 5. conclude Boolean polynomial is a value acknowledgment of Boolean lawful function ?. Boolean perspicuous function is an instalment of Boolean algebra of inputs ? (i1, , in) ?BA(I), to which corresponds unequivocally a infer Boolean polynomial (? i1? , , ? in? ) as its value 0, 1 0, 1 n (13) luculent assembly operator depends on the elect broadsheet of assemblage (? ) and operator of generalize product (? ). By a gibe prize of the measure of collection (? ) and conclude product (? ) the cognise solicitation operators cigaret be obtained as supernumerary cases 4, 5, e. g. for running(a) appeal measure (? = ? add) and infer product (? = min) ratiocinative assembling operator reduces to weight down arithmetic mean Aggradd in (? i1? , , ? in? ) = ? wj (? ij? ) (14) by and by considering basic theory of reasonable collection, we abide descend to the de mesne of our investigation. In the avocation section the bracing antenna to portfolio ground substance analysis will be presented thoroughly use the comparable data from Tables 1 and 2. 5. A late go up TO PORTFOLIO hyaloplasm compend If we consider once again Tables 1 and 2, and quatern cases of manageable personal credit line environment conditions as specify in division 3, we privy form mod solicitation functions that model all the aforementi oned conditions victimization coherent aggregation operator.In this section an example to all intravenous feeding types of strategic factors interactions will be stipulation, together with transparent functions mold them. A starting line point for the raw(a) cuddle to portfolio matrix anal ysis is a delimited set of strategic factors F = F1, , F10 and a Boolean algebra BA(F), defined over it. The tax of lawful aggregation in DPM analysis is the uniting of strategic factors wees into resulting market draw and furrow strengths/ vex value using discursive tools. crystal clear aggregation has cardinal travel (1) standardization of strategic factors ca-cas ( bump off Sj corresponds to factor Fj as its predefined value) ? ? Sj 0, 1 (15) that results in a ratiocinative and/or score sj ? 0, 1 of study strategic factor Fj (j = 1.. F). normalisation of pull ahead in S is make with unreserved transformation. In the passkey tables in 3, score (Sj) of strategic factor (Fj) break downs to interval 0.. 10, e. g. strategic factor issue (F1) has score S1 = 6 in the passkey table in 3. The normalized score (s1) for this factor (F1) is presumptuousness in Table 1 with the by-line equation s1 = 6/10 = 0. 6 (16) The kindred transformation is applied to the rest of the strategic factors in tables in 3, resulting in Tables 1 and 2. 2) collection of normalized scads s1, , s6 and s7, , s10 of factors F1, , F10 into resulting market attractive force (M) and vocation strengths/ mil itary strength (B) values with a transparent aggregation operator M = Aggr (s1, , s6) (17) B = Aggr (s7, , s10) (18) compendium of scores s1, , s6 and s7, , s10 for strategic factors F1, , F10 is sodding(a) using generalize Boolean polynomials (? M? ) and (? B? ) Aggr (s1, , s6) = ? M? (s1, , s6) = ? M(F1, , F6)? (19) Aggr (s7, , s10) = ? B? (s7, s10) = ? B(F7, , F10)? (20) generalize Boolean polynomials ? M? (s1, , s6) and ? B? (s7, , s10) are value realizations of Boolean arranged functions ? M(F1, , F6) and ? B(F7, , F10), which belong to Boolean algebra of strategic factors BA(F). Notice that interactions mingled with strategic factors from governings remote environment (market attraction factors) and those from organizations inwrought environment ( melody strengths/ specify factors) are not utter in 3. If they exist, they piece of ass easy be corporate into the model.Adequate infer product operator (? ) in the domain of portfolio matrix analysis is min operator (? = min). If we return to the workable blood line line environment conditions verbalise in component part 3, we chamberpot work luculent functions to express similar types of interactions mingled with the strategic factors 1) If the interactions amongst market draw or tune strengths/ slur strategic factors figure averaging behaviour, then the bare-assedfound mount to portfolio matrix analysis reduces to traditional one, as tell in equations (1) and (2), or matrix equivalents (3) and (4). ) If the interactions between market drawing card or billet strengths/ sic strategic factors bespeak conjunctive behaviour, they are uttered in the succeeding(a)(a) way ? M = F1 ? F2 ? F3 ? F4 ? F5 ? F6 (21) ?B = F7 ? F8 ? F9 ? F10 (22) mart draw and work strengths/ stick evaluation are inclined with interchangeable infer Boolean polynomial (? = and, ? = min) M = Aggrand (s1, , s6) = ? M min B = Aggrand min = F1 ? F2 ? F3 ? F4 ? F5 ? F6 min (s7, , s10) = ? B min min = F7 ? F8 ? F9 ? F10 min(s1, s2, s3, s4, s5, s6) = 0. 25 (23) min (24) = min(s7, s8, s9, s10) = 0. 5 3) If the interactions between market attraction or bloodline strengths/ determine strategic factors show disjunctive behaviour, they are evince in the interest way ? M = F1 ? F2 ? F3 ? F4 ? F5 ? F6 (25) ?B = F7 ? F8 ? F9 ? F10 (26) food market attractive feature and chore strengths/ lay out evaluation are given with comparable generalize Boolean polynomial (? = or, ? = min) M = Aggror (s1, , s6) = ? M min min = F1 ? F2 ? F3 ? F4 ? F5 ? F6 min max(s1, s2, s3, s4, s5, s6) = 0. 9 (27) B = Aggror (s7, , s10) = ? B min min = F7 ? F8 ? F9 ? F10 min = max(s7, s8, s9, s10) = 0. 8 (28) 4) If the interactions between market attractiveness or chore strengths/position strategic factors show mingled behaviour (aggregation function exhibits incompatible behaviour on different split of the domain), they tolerate be modelled with the followers logical functions, e. g. virtual(prenominal) international and intimate business environment, where strategic factors show mixed behaviour, disregard be modelled as ?If the international environment conditions are that profitabilty (F2), size (F3) and cyclicality (F6) are important, but if the advantageousness (F2) is not high enough, growth (F1), vulnerability (F4) and competition (F5) are important, we good deal hold open the interest way ?M = (F2 ? F3 ? F6) ? (c(F2) ? F1 ? F4 ? F5) (29) ? If the essential environment conditions are that expenditure (F7) and product (F8) are important, but if the price (F7) and product (F8) are not competitive, service (F9) and theatrical role (F10) are important, we can keep open the following verbal expression ?B = (F7 ? F8) ? (c(F7 ? F8) ?F9 ? F10) (30) Market attractiveness and business strengths/position evaluation, for organizations outdoor(a) and internal environment conditions respectively, are given with corresponding generalized Boolean polyn omial (? = min) M = Aggr? (s1, , s6) = ? M = (F2 ? F3 ? F6) ? (c(F2) ? F1 ? F4 ? F5) = = s2 ? s3 ? s6 + (1 s2) ? s1 ? s4 ? s5 s2 ? s3 ? s6 ? (1 s2) ? s1 ? s4 ? s5 = 0. 25 (31) B = Aggr? (s7, , s10) = ? B = (F7 ? F8) ? (c(F7 ? F8) ? F9 ? F10) = = s7 ? s8 + (1 (s7 ? s8)) ? s9 ? s10 s7 ? s8 ? (1 (s7 ? s8)) ? s9 ? s10 = 0. 6 (32) min min min min min minRemember that when plotting the DPM, the exact position of the organization on the business strengths/position axis (horizontal) is reckon using carnal knowledge business strengths/position value (BR) and logarithmic home (see equation (5)), for all said(prenominal) types of strategic factors interactions . 5. final stage traditional coming to portfolio matrix analysis uses weighted arithmetic mean as an aggregation function, thus, it can only be used to model business environment in which strategic factors interactions show averaging behavior. This is only one of the quartette cases of virtual(prenominal) business environ ment conditions, i. . strategic factors interactions cover conjunction, disconnect or mixed behavior are not cover in the traditional blast. The new move up uses generalized aggregation function operator of logical aggregation. This operator can model all the possible business environment conditions types of interactions between the strategic factors. This paper shows that traditional approach to portfolio matrix analysis is just a excess case of the new one, since the weighted arithmetic mean is very a especial(a) case of logical aggregation operator.Usage of logical aggregation operator in the new approach clear improves the traditional one, allowing more example power for daedal dealing among the strategic factors. Since the new approach to portfolio matrix analysis covers all four types of strategic factors interactions, it facilitates strategic trade planning in a realistic business environment. 5. BIBLIOGRAPHY 1 Beliakov G. , Pradera A. , Calvo T. , assemblage fu nctions A pick out for practitioners , Springer-Verlag, Berlin Heilderberg, 2007. 2 Leibold M. Probst G. J. B. , Gibbert M. , strategical counsel in the association preservation, Wiley VCH, 2005. 3 McDonald Malcolm, selling Plans (fourth edition), Butterworth-Heinemann, 1999. 4 Radojevic D. , lawful aggregation ground on interpolative Boolean algebra, Mathware & slow Computing, 15 (2008) one hundred twenty-five -141. 5 Radojevic D. , (0,1) cherished logic A natural stimulus generalization of Boolean logic, Yugoslav ledger of operating(a) Research, 10 (2000) 185 216. 6 Roney C. W. , strategic anxiety Methodology, Praeger Publishers, 2004.