Multicriteria fuzzy decision-making methods based on intuitionistic fuzzy sets

By Lin Lin, Xuehai Yuan, Zun-Quan Xia. Journal of computer and system sciences (Print), 2007

358 citations recorded by the source corpus.

In this paper, a new method for handling multicriteria fuzzy decision-making problems based on intuitionistic fuzzy sets is presented. The proposed method allows the degrees of satisfiability and non-satisfiability of each alternative with respect to a set of criteria to be represented by intuitionistic fuzzy sets, respectively. Furthermore, the proposed method allows the decision-maker to assign the degrees of membership and non-membership of the criteria to the fuzzy concept ''importance.'' The method proposed here can provide a useful way to efficiently help the decision-maker to make his decision.

Subfields: Artificial Intelligence, Control and Systems Engineering, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/4c0474a8e3246337665dfc851c9eb7618c60b448

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In Artificial Intelligence

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Citations in the corpus

Intuitionistic Fuzzy Information Measures with Application in Rating of Township Development (2016, methodology): “MCDM problems based on IFS utilizing information measure weights and linear programming were given by [15, 25, 26, 28, 48].”
GRA method for multiple attribute decision making with incomplete weight information in intuitionistic fuzzy setting (2010, methodology): “[20] presented a new method for handling multiple attribute fuzzy decision-making problems, where the characteristics of the alternatives are represented by intuitionistic fuzzy sets.”
Gray relational analysis method for intuitionistic fuzzy multiple attribute decision making (2011, methodology): “…& Roy, 2000; Deschrijver & Kerre, 2007; Gau et al., 1993; Grzegorzewski, 2004; Hong & Choi, 2000; Li, 2004; Li, 2005, 2008; Li & Cheng, 2002; Lin, Yuan, & Xia, 2007; Liu, 2007; Li, Wang, Liu, & Shan, 2009; Szmidt & Kacprzyk, 1996a, 1996b, 1996c, 1997, 2000, 2001a, 2001b, 2002, 2003; Tan &…”
Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making (2010, methodology): “By linear programming model, Lin, Yuan, and Xia (2007) presented a new method for handling multi-criteria fuzzy decision making problems based on intuitionistic fuzzy sets.”
Methods for strategic decision-making problems with immediate probabilities in intuitionistic fuzzy setting (2012, background): “The intuitionistic fuzzy set has receivedmore and more attention since its appearance [4–18].”