SHAPLEY FUNCTION BASED INTERVAL-VALUED INTUITIONISTIC FUZZY VIKOR TECHNIQUE FOR CORRELATIVE MULTI-CRITERIA DECISION MAKING PROBLEMS

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RANI P.; JAIN D.; HOODA D.S.

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Journal: Iranian Journal of Fuzzy Systems Year:2018 | Volume:18 | Issue:1 Page(s): 25-54

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Title

SHAPLEY FUNCTION BASED INTERVAL-VALUED INTUITIONISTIC FUZZY VIKOR TECHNIQUE FOR CORRELATIVE MULTI-CRITERIA DECISION MAKING PROBLEMS

Author(s)

RANI P. | JAIN D. | HOODA D.S. | Issue Writer Certificate

Keywords

FUZZY SETQ2

INTERVAL-VALUED INTUITIONISTIC FUZZY SETQ2

ENTROPYQ2

SIMILARITY MEASUREQ2

MCDMQ2

VIKORQ2

Abstract

Interval-valued intuitionistic FUZZY SET (IVIFS) has developed to cope with the uncertainty of imprecise human thinking. In the present communication, new ENTROPY and SIMILARITY MEASUREs for IVIFSs based on exponential function are presented and compared with the existing measures. Numerical results reveal that the proposed information measures attain the higher association with the existing measures, which demonstrate their efficiency and reliability. To deal with the interactive characteristics among the elements in a set, Shapley weighted SIMILARITY MEASURE based on proposed SIMILARITY MEASURE for IVIFSs is discussed via Shapley function. Thereafter, the linear programming model for optimal fuzzy measure is originated for incomplete information about the weights of the criteria and thus, the optimal weight vector is obtained in terms of Shapley values. Further, the VIKOR technique is discussed for correlative multi-criteria decision making problems under interval-valued intuitionistic fuzzy environment. Finally, an example of investment problem is presented to exemplify the application of the proposed technique under in-complete and uncertain information situation.

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APA: Copy

RANI, P., JAIN, D., & HOODA, D.S.. (2018). SHAPLEY FUNCTION BASED INTERVAL-VALUED INTUITIONISTIC FUZZY VIKOR TECHNIQUE FOR CORRELATIVE MULTI-CRITERIA DECISION MAKING PROBLEMS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 18(1 ), 25-54. SID. https://sid.ir/paper/113296/en

Vancouver: Copy

RANI P., JAIN D., HOODA D.S.. SHAPLEY FUNCTION BASED INTERVAL-VALUED INTUITIONISTIC FUZZY VIKOR TECHNIQUE FOR CORRELATIVE MULTI-CRITERIA DECISION MAKING PROBLEMS. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2018;18(1 ):25-54. Available from: https://sid.ir/paper/113296/en

IEEE: Copy

P. RANI, D. JAIN, and D.S. HOODA, “SHAPLEY FUNCTION BASED INTERVAL-VALUED INTUITIONISTIC FUZZY VIKOR TECHNIQUE FOR CORRELATIVE MULTI-CRITERIA DECISION MAKING PROBLEMS,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 18, no. 1 , pp. 25–54, 2018, [Online]. Available: https://sid.ir/paper/113296/en

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