Analysis of consensus under intuitionistic fuzzy preferences
نویسندگان
چکیده
We extend the main idea of a fuzzy analysis of consensus introduced by Spillman, Spillman and Bezdek [12] that is based on a concept of a distance from consensus to a case when individual testimonies are individual intuitionistic fuzzy preference relations, as opposed to fuzzy preference relations commonly employed. Intuitionistic fuzzy preference relations, that in addition to a membership degree (from [0, I.]) include a hesitation margin (concerning the membership degree), can better reflect the very imprecision of testimonies (expressing preferences) of the individuals during the consensus reaching process. Our solution, obtained as a new interval valued measures of a distance from consensus, better reflects both real human perception and a soft nature of consensus.
منابع مشابه
A Comparison of Distinct Consensus Measures for Group Decision Making with Intuitionistic Fuzzy Preference Relations
Intuitionistic fuzzy preference relation (IFPR), which express experts’ preferences from the preferred, the nonpreferred and the indeterminate aspects, has turned out to be an efficient tool in describing the rough and subjective opinions of experts. This paper focuses on the consensus measures for group decision making (GDM) in which all the experts use the IFPRs to express their preferences. ...
متن کاملPROPERTY ANALYSIS OF TRIPLE IMPLICATION METHOD FOR APPROXIMATE REASONING ON ATANASSOVS INTUITIONISTIC FUZZY SETS
Firstly, two kinds of natural distances between intuitionistic fuzzy sets are generated by the classical natural distance between fuzzy sets under a unified framework of residual intuitionistic implication operators. Secondly, the continuity and approximation property of a method for solving intuitionistic fuzzy reasoning are defined. It is proved that the triple implication method for intuitio...
متن کاملA Data Envelopment Analysis Model with Triangular Intuitionistic Fuzzy Numbers
DEA (Data Envelopment Analysis) is a technique for evaluating the relative effectiveness of decision-making units (DMU) with multiple inputs and outputs data based on non-parametric modeling using mathematical programming (including linear programming, multi-parameter programming, stochastic programming, etc.). The classical DEA methods are developed to handle the information in the form of cri...
متن کاملINTUITIONISTIC FUZZY DIMENSIONAL ANALYSIS FOR MULTI-CRITERIA DECISION MAKING
Dimensional analysis, for multi-criteria decision making, is a mathematical method that includes diverse heterogeneous criteria into a single dimensionless index. Dimensional Analysis, in its current definition, presents the drawback to manipulate fuzzy information commonly presented in a multi-criteria decision making problem. To overcome such limitation, we propose two dimensional analysis ba...
متن کاملSoft Computing Based on a Modified MCDM Approach under Intuitionistic Fuzzy Sets
The current study set to extend a new VIKOR method as a compromise ranking approach to solve multiple criteria decision-making (MCDM) problems through intuitionistic fuzzy analysis. Using compromise method in MCDM problems contributes to the selection of an alternative as close as possible to the positive ideal solution and far away from the negative ideal solution, concurrently. Using Atanasso...
متن کامل