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A New Approach in Multiple Attribute Decision Making Using Exponential Hesitant Fuzzy Entropy

摘要


Hesitant fuzzy sets (HFSs) proposed by Torra and Torra and Narukawa have been proved to be more practical in handling fuzziness. The feature of HFSs to assign membership degrees in the form of a set has made them very useful for solving multiple attribute decision making (MADM) problem. In this communication, we have introduced a new exponential hesitant fuzzy entropy based on well-known exponential entropy studied by Pal and Pal. The proposed entropy is then used for solving MADM problem. The attributes weights play an important role in solution of MADM problem. In this study, two methods are discussed to determine attributes weights. Finally, two numerical examples are given to illustrate the effectiveness and feasibility of proposed method.

關鍵字

Hesitant fuzzy set VIKOR MADM

參考文獻


Joshi, R., Kumar, S., Gupta, D. and Kaur, H. (2017). A Jensen-α-norm dissimilarity measure for intuitionistic fuzzy sets and its applications in multiple attribute decision making, International Journal of Fuzzy Systems, DOI:10.1007/s40815-017-0389-8
Joshi, R. and Kumar, S. (2016). (R, S)-norm information measure and a relation between coding theory and questionnaire theory, Open Systems and Information Dynamics, Vol.23, No.3, Article Id: 1650015 (12 pages), DOI:10.1142/S1230161216500153
Joshi, R. and Kumar, S. (2016). A new intuitionistic fuzzy entropy of order-α with applications in multiple attribute decision making, Advances in Intelligent Systems and Computing, Vol.546, 212-219, DOI 10.1007/978-981-10-3322-3-19
Joshi, R. and Kumar, S. (2017). A new parametric intuitionistic fuzzy entropy and its applications in multiple attribute decision making, International Journal of Applied and Computational Mathematics, Vol.4, 52-74, https://doi.org/10.1007/s40819-018-0486-x
Joshi, R. and Kumar, S. (2018). An intuitionistic fuzzy information measure of order- (α, β) with a new approach in supplier selection problems using an extended VIKOR method, Journal of Applied Mathematics and Computing, DOI: https://doi.org/10.1007/s12190-018-1202-z

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