Multi-criteria trapezoidal valued intuitionistic fuzzy decision making with Choquet integral based TOPSIS

Ismat Beg and Tabasam Rashid

MPRA Paper from University Library of Munich, Germany

Abstract: A generalized trapezoidal-valued intuitionistic fuzzy geometric aggregation operator is proposed which is then used to aggregate decision makers' opinions in group decision making process. An extension of TOPSIS, a multi-criteria trapezoidal-valued intuitionistic fuzzy decision making technique, to a group decision environment is also proposed, where inter-dependent or interactive characteristics among criteria and preference of decision makers are under consideration. Furthermore, Choquet integral-based distance between trapezoidal-valued intuitionistic fuzzy values is defined. Combining the trapezoidal-valued intuitionistic fuzzy geometric aggregation operator with Choquet integral-based distance, an extension of TOPSIS method is developed to deal with a multi-criteria trapezoidal-valued intuitionistic fuzzy group decision making problems. Finally, an illustrative example is provided to understand the proposed method.

Keywords: Technique for order preference by similarity to ideal solution; Multi-criteria group decision making; Interval-valued intuitionistic fuzzy sets; Fuzzy measures; GIIFGA operator. (search for similar items in EconPapers)
JEL-codes: C44 C61 D71 (search for similar items in EconPapers)
Date: 2012, Revised 2013
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Citations: View citations in EconPapers (1)

Published in OPSEARCH 1.51(2014): pp. 98-129

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