Retreat: Fuzzy Multi-Criteria Decision Making Based on Pros and Cons
Ajay Minj1, T. Pathinathan2 
1Ajay Minj, PG and Research Department of Mathematics, Loyola College, Chennai, India.
2T. Pathinathan, PG and Research Department of Mathematics, Loyola College, Chennai, India.

Manuscript received on 01 March 2019 | Revised Manuscript received on 08 March 2019 | Manuscript published on 30 July 2019 | PP: 6072-6079 | Volume-8 Issue-2, July 2019 | Retrieval Number: B3802078219/19©BEIESP | DOI: 10.35940/ijrte.B3802.078219

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Abstract: We introduce a new fuzzy multi-criteria decision-making method using interval type-2 pentagonal fuzzy numbers. We propose to incorporate pros and cons of an issue to arrive at better decision. The necessary concepts and terminologies are defined. The proposed decision method consists of three stages. We use a prioritized interval type-2 pentagonal fuzzy aggregation operator to arrive at a tentative decision in the second stage. We use the existing concept of synthesis value and define a new suitable formula in order to accommodate fuzzy decision environment with pros and cons of an issue. A formula to combine the de-fuzzified pro-value and con-value of an alternative is proposed and the same is used to rank the alternatives. We further introduce concept of consolation score to align the final decision with the gut level of a decision maker. The fuzzy concepts such as fuzzy relations and fuzzy trace theory are employed to arrive at consolation score. This newly proposed fuzzy multi-criteria decision making method is a comprehensive and complete approach to a decision problem particularly concerning life-issues.
Keywords: Fuzzy Multi-Criteria Decision Making, Fuzzy trace Theory, Interval type-2 Pentagonal Fuzzy Numbers, Prioritized Interval type-2 Fuzzy Aggregation Operator, Pros and Cons.

Scope of the Article: Fuzzy Logics