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A method for fuzzy group decision making based on induced aggregation operators and Euclidean distance
Author(s) -
Su Weihua,
Peng Wuzhen,
Zeng Shouzhen,
Peng Bo,
Pan Tiejun
Publication year - 2013
Publication title -
international transactions in operational research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.032
H-Index - 52
eISSN - 1475-3995
pISSN - 0969-6016
DOI - 10.1111/itor.12015
Subject(s) - euclidean distance , euclidean geometry , mathematics , operator (biology) , fuzzy logic , group decision making , euclidean distance matrix , fuzzy number , distance measures , mathematical optimization , fuzzy set , discrete mathematics , combinatorics , artificial intelligence , computer science , gene , biochemistry , chemistry , geometry , repressor , transcription factor , political science , law
In this paper, we present the fuzzy‐induced Euclidean ordered weighted averaging distance (FIEOWAD) operator. It is an extension of the ordered weighted averaging (OWA) operator that uses the main characteristics of the induced OWA (IOWA), the Euclidean distance and uncertain information represented by fuzzy numbers. The main advantage of this operator is that it is able to consider complex attitudinal characters of the decision maker by using order‐inducing variables in the aggregation of the Euclidean distance. Moreover, it is able to deal with uncertain environments where the information is very imprecise and can be assessed with fuzzy numbers. We study some of its main properties and particular cases such as the fuzzy maximum distance, fuzzy minimum distance, fuzzy‐normalized Euclidean distance (FNED), fuzzy‐weighted Euclidean distance (FWED), and fuzzy Euclidean ordered weighted averaging distance (FEOWAD) operator. Finally, we present an application of the operator to a group decision‐making problem concerning the selection of strategies.