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1

Rank Ordering Criteria Weighting Methods – a Comparative Overview

100%

Roszkowska E.

Optimum. Studia Ekonomiczne

|

2013

|

issue 5(65)

14-33

EN

Multicriteria decision making (MCDM) refers to screening, prioritizing, ranking or selecting the alternatives based on human judgment from among a finite set of ` alternatives in terms of the multiple usually conflicting criteria. A very significant role in MCDM models plays the weights of criteria which usually provide the information about the relative importance of the considered criteria. Several different methods are developed to take criteria priorities into account. The aim of the paper is a comparative overview on several rank ordering weights methods which are considered to convert the ordinal ranking of a number of criteria into numerical weights. Using ranks to elicit weights by some formulas is more reliable than just directly assigning weights to criteria because usually decision makers are more confident about the ranks of some criteria than their weights, and they can agree on ranks more easily. The great advantage of those methods is the fact that they rely only on ordinal information about attribute importance. They can be used for instance in situations of time pressure, quality nature of criteria, lack of knowledge, imprecise, incomplete information or partial information, decision maker’s limited attention and information processing capability. The equal weights, rank sum, rank exponent, rank reciprocal as well centroid weights technique are presented. These methods have been selected for their simplicity and effectiveness.

2

Using Multiple Criteria Decision-Making Methods in Negotiation Support

75%

Brzostowski J.

Optimum. Studia Ekonomiczne

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2012

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issue 5(59)

3-29

EN

The multiple criteria decision making (MCDM) methodology provides decision mak-ers (DM) with a set of universal methods and models that may also be applied for sup-porting negotiation processes. In this paper we discuss the usability of various classic MCDA techniques taking into account decision maker’s subjective preferences for evaluating the negotiation template and building the scoring system for negotiation offers evaluation in the well-structured negotiation problems. This scoring system allows for evaluation of the negotiation offers, ranking and comparing them and therefore makes it easier for negotiators to decide on accepting or rejecting of different contract alternatives proposed by their counterparts. The main goal of the paper is to present a comparative analysis of four multiple crite-ria decision making methods such as: SAW, MAUT, AHP, TOPSIS, the fundamental as-sumptions of which are different, but allow for using them in the negotiation support. All presented procedures make it possible to evaluate the negotiation offers (full packages) and build a ranking of them (and ordering them from the best to the worst one), to deter-mine the alternative offers, to evaluate and compare the extent size of potential conces-sions. Those procedures also allow for conducting postnegotiation analysis in order to find the improvements of the compromise negotiated by the parties themselves by im-plementing some arbitration procedures derived directly from the game theory. We pre-sent the fundamental notions as well as the formal algorithms of each procedure discuss-ing both their advantages and disadvantages. Furthermore, we describe some modifica-tions of these methods that make them more applicable for solving negotiation problems. An example of application in the negotiation context is also presented in the case of problem where the space of feasible alternatives continues. We show in an example how some of the discussed methods are chosen that fit the specific problem, namely the con-struction of a continuous scoring functions allowing for the evaluation of any feasible al-ternative.

3

Rankingi wielokryteriowe w warunkach zależności liniowej kryteriów – przykład badania ładu środowiskowego w Polsce w roku 2014

75%

Konarzewska I.

Prace Naukowe Uniwersytetu Ekonomicznego we Wrocławiu

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2017

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issue 468

99-107

PL

W pracy kontynuowane są rozważania na temat konstrukcji wskaźników syntetycznych przy prowadzeniu badań z zakresu wielowymiarowej analizy porównawczej czy też wielokryteriowej analizy dyskretnej (MCDA). Zakłada się najczęściej, że brane pod uwagę kryteria są niezależne. W pracy poddano empirycznej analizie porównawczej, zaproponowaną przez Autora, metodę MCPC tworzenia zmiennej syntetycznej w oparciu o wykorzystanie analizy głównych składowych macierzy kowariancji wartości kryteriów z metodami SAW i TOPSIS. Przeprowadzone badanie dotyczyło wskaźników ładu środowiskowego dla województw Polski w roku 2014 – silnie współzależnych. W pracy pokazano wyniki rankingów oraz zależność zmiennej syntetycznej z metody MCPC od liczby składowych głównych. Badania pokazały, że uzyskiwane za pomocą MCPC rankingi były odporne na sposób ważenia kryteriów. Metodę można traktować jako alternatywę dla innych metod wielokryteriowych, odporną na występowanie zależności liniowych wśród zestawu kryteriów.

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2 Optimum. Studia Ekonomiczne

1 Prace Naukowe Uniwersytetu Ekonomicznego we Wrocławiu

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1 Brzostowski J.

1 Konarzewska I.

1 Roszkowska E.

Rank Ordering Criteria Weighting Methods – a Comparative Overview

Using Multiple Criteria Decision-Making Methods in Negotiation Support

Rankingi wielokryteriowe w warunkach zależności liniowej kryteriów – przykład badania ładu środowiskowego w Polsce w roku 2014