A SHAPLEY TRADE-OFF RANKING METHOD FOR
MULTI-CRITERIA DECISION-MAKING WITH
DEFUZZIFICATION CHARACTERISTIC FUNCTION
Muhammad Akram Ramadhan Ibrahim1, Nor Izzati Jaini2
Ku Muhammad Naim Ku Khalif3
1,2,3 Centre for Mathematical Sciences
College of Computing and Applied Sciences
Universiti Malaysia Pahang, Lebuhraya Tun Razak
Gambang – 26300, MALAYSIA

Abstract

More studies tend to hybrid the game theory technique with the MCDM method to cater to real-situation problems. This paper provides a novel hybrid Shapley value solution concept in the cooperative game with the trade-off ranking method in MCDM. The fundamental methodology of the Shapley value solution concept and trade-off ranking method are explained to make the methodology clear to the readers. A Shapley trade-off ranking (S-TOR) method has been proposed to obtain the best solution to the fuzzy conflicting MCDM in the personnel selection problem. Thus, the triangular fuzzy number is used to represent the DMs evaluation. Then, the fuzzy number be transformed into crisp values using the defuzzification process. The future suggestions are the fuzzy system may be changed to real data for more practical problems, attempt to incorporate a comprehensive method to increase sharing-profit and decrease sharing-loss in the economy or financial problems, and other types of fuzzy numbers may be used to represent an evaluation of the DMs.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 34
Issue: 5
Year: 2021

DOI: 10.12732/ijam.v34i5.5

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