Simple Additive Weighting Method Equipped with Fuzzy Ranking of Evaluated Alternatives
Krzysztof Piasecki , Ewa Roszkowska , Anna Łyczkowska-Hanćkowiak
AbstractFrom the perspective of each evaluation criterion, any decision alternative is evaluated by means of trapezoidal ordered fuzzy numbers (TrOFN). This approach is justified in the way that some criteria are linguistically evaluated. In this paper, decision alternatives are evaluated using oriented fuzzy Simple Additive Weighting (OF-SAW) scoring function. The ranking of alternatives may be defined by means of a nonincreasing sequence of defuzzified values of a scoring function. Any defuzzification procedure distorts ordered fuzzy numbers in a way that information on imprecision and orientation is lost. This undermines the credibility of the determined alternatives’ ranking. The main purpose of this paper is to avoid the defuzzification stage in the OF-SAW method. Thus, the OF-SAW method is equipped with fuzzy scoring order. This OF-SAW method is described as a negotiation scoring system. We study an empirical example of the OF-SAW application and rank some negotiation offers. Here, we focus on the effects of replacing the defuzzified scoring function by a fuzzy one. The obtained conclusions are generalized for the case of any decision alternatives.
|Journal series||Symmetry-Basel, [Symmetry], ISSN 2073-8994, (N/A 70 pkt)|
|Publication size in sheets||0.85|
|Keywords in Polish||skierowana liczba rozmyta, lingwistyczna skala porządkowa, metoda SAW, defuzzyfikacja, rozmyty ranking, alternatywa decyzyjna, problem negocjacyjny|
|Keywords in English||ordered fuzzy number; linguistic order scale; Simple Additive Weighting method; defuzzification; fuzzy ranking; decision alternative; negotiation problem|
|ASJC Classification||; ; ;|
|Score||= 70.0, 16-06-2020, ArticleFromJournal|
|Publication indicators||= 0; : 2016 = 0.64; : 2018 = 2.143 (2) - 2018=2.041 (5)|
|Citation count*||6 (2020-09-06)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.