Open AccessExpertise-based decision makers’ importance weights for solving group decision making problems under fuzzy preference relations
Author(s) -
Evy Herowati
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/703/1/012028
Subject(s) - pairwise comparison , ranking (information retrieval) , group decision making , preference , fuzzy logic , monotonic function , operator (biology) , rank (graph theory) , estimator , affect (linguistics) , mathematics , group (periodic table) , property (philosophy) , statistics , computer science , operations research , artificial intelligence , psychology , social psychology , combinatorics , chemistry , mathematical analysis , biochemistry , philosophy , communication , organic chemistry , repressor , epistemology , transcription factor , gene
The quality of a decision is influenced by the level of expertise of the Decision Makers (DMs). In Group Decision Making, alternatives’ scores are obtained by integrating the DMs opinions and the importance weights of the DMs greatly affect the resulted value. Expertise level is defined as the ability to differentiate consistently and expressed as the CWS-Index, a ratio between the Discrimination and Inconsistency. The DMs give their evaluations in pairwise comparison of Fuzzy Preference Relations (FPR) and the additivity property of FPR generates the estimators needed to get the CWS-Indexes and the expertise-based ranking of DMs. The weights of the DMs are obtained by using Induced Ordered Weighted Averaging (IOWA) operator and Basic Unit Monotonic Increasing functions and the resulted weights are used to evaluate the available alternatives to get the best one based on Fuzzy Majority and IOWA operators. This paper proposes an expertise-based weight allocation method for DMs and a numerical example is discussed to illustrate this expertise-based model to get the best alternative and it is concluded that the higher the DMs’ expertise level, the higher his/her weight would be, and these weights affect the alternatives’ score and the rank of the alternatives.