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Entropy 2018, 20(1), 65; https://doi.org/10.3390/e20010065

Multi-Attribute Decision-Making Based on Bonferroni Mean Operators under Cubic Intuitionistic Fuzzy Set Environment

School of Mathematics, Thapar Institute of Engineering & Technology (Deemed University), Patiala, 147004 Punjab, India
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Received: 22 November 2017 / Revised: 9 January 2018 / Accepted: 10 January 2018 / Published: 17 January 2018
(This article belongs to the Section Information Theory, Probability and Statistics)
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Abstract

Cubic intuitionistic fuzzy (CIF) set is the hybrid set which can contain much more information to express an interval-valued intuitionistic fuzzy set and an intuitionistic fuzzy set simultaneously for handling the uncertainties in the data. Unfortunately, there has been no research on the aggregation operators on CIF sets so far. Since an aggregation operator is an important mathematical tool in decision-making problems, the present paper proposes some new Bonferroni mean and weighted Bonferroni mean averaging operators between the cubic intuitionistic fuzzy numbers for aggregating the different preferences of the decision-maker. Then, we develop a decision-making method based on the proposed operators under the cubic intuitionistic fuzzy environment and illustrated with a numerical example. Finally, a comparison analysis between the proposed and the existing approaches have been performed to illustrate the applicability and feasibility of the developed decision-making method. View Full-Text
Keywords: Bonferroni mean; aggregation operator; cubic intuitionistic fuzzy set; interval-valued intuitionistic fuzzy numbers; group decision-making Bonferroni mean; aggregation operator; cubic intuitionistic fuzzy set; interval-valued intuitionistic fuzzy numbers; group decision-making
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Kaur, G.; Garg, H. Multi-Attribute Decision-Making Based on Bonferroni Mean Operators under Cubic Intuitionistic Fuzzy Set Environment. Entropy 2018, 20, 65.

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