Group multi-criteria decision making based upon interval-valued fuzzy numbers: An extension of the MULTIMOORA method
Expert Systems with ApplicationsPublished 27 July 2012
Tomas Baležentis, Shouzhen Zeng
Citations202
SJR quartileQ1
SJR score1.85
SNIP2.55
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TL;DR
The MULTIMOORA method is extended with type-2 fuzzy sets viz. generalized interval-valued trapezoidal fuzzy numbers to provide the means for multi-criteria decision making related to uncertain assessments.
Abstract
Multi criteria decision making (MCDM) often involves uncertainty which can be tackled by employing the fuzzy set theory. Type-2 fuzzy sets offer certain additional means for the latter purpose. This paper therefore extends the MULTIMOORA method with type-2 fuzzy sets viz. generalized interval-valued trapezoidal fuzzy numbers. The proposed method thus provides the means for multi-criteria decision making related to uncertain assessments. Utilization of aggregation operators also enables to facilitate group multi-criteria decision making. A numerical example of personnel selection demonstrates the possibilities of application of the proposed method in the field of human resource management and performance management in general.
Keywords
Computer ScienceDecision SciencesMathematics
Fuzzy Sets and SystemsIntuitionistic fuzzy sets
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Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Information SciencesThe concept of a linguistic variable and its application to approximate reasoning-III
12,148 Citations1975L. A. Zadeh
Much of what constitutes the core of scientific knowledge may be regarded as a reservoir of concepts and techniques which can be drawn upon to construct mathematical models of various types of systems and thereby yield quantitative information concerning their behavior.
Information SciencesThe concept of a linguistic variable and its application to approximate reasoning—I
12,036 Citations1975Lotfi A. Zadeh
It is shown that probabilities, too, can be treated as linguistic variables with values such as likely, very likely, unlikely, etc.
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8,268 Citations1981Shu-Jen J. Chen, C. L. Hwang +2 more
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7,125 Citations1988Ronald R. Yager
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WORLD SCIENTIFIC eBooksFuzzy logic for the applications to complex systems : proceedings of the International Joint Conference of CFSA/IFIS/SOFT '95 on Fuzzy Theory and Applications : Taipei, Taiwan, 7-9 December 1995
9 Citations1995Ifis, Soft on Fuzzy Theory +2 more