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Generalized Dice measures of single valued neutrosophic type-2 hesitant fuzzy sets and their application to multi-criteria decision making problems

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Abstract

In this paper, we develop single valued neutrosophic type-2 hesitant fuzzy sets (SVNT2HFS), presented as a variation of single valued neutrosophic fuzzy sets and type-2 hesitant fuzzy sets that includes truth, indeterminacy, falsity sets but these parts have been determined from type-2 fuzzy elements with motivation of single valued neutrosophic hesitant fuzzy set (SVNHFS) and Interval neutrosophic hesitant fuzzy set (INHFS). The proposed cluster can present more advantages than SVNHFS and INHFS for decision makers because it can provide a wide scala while membership values are being appointed by experts. Also, SVNHFS, INHFS are special cases of SVNT2HFS as indicated into comparison analysis. Therefore, our cluster has more knowledge capacity. Then, we give some basic dice measures, weighted dice measures, generalized dice measures and generalized weighted dice measures between two SVNT2HFSs. In here, generalized dice measures of SVNT2HFS propose more flexible relation for different values of \(\lambda\) change according to decision maker’s need and requirements. Also, we offer a decision making method and survey similarity between obtained an optimal solution and decision maker’s ideas by using dice measures, weighted dice measures, generalized dice measures and generalized weighted dice measures. At the end of the paper, two illustrative examples and two comparative analysis are proposed to show the practicality and effectiveness of our measures.

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  1. Nizip Vocational High School, Gaziantep University, 27000, Gaziantep, Turkey

    Şerif Özlü

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Özlü, Ş. Generalized Dice measures of single valued neutrosophic type-2 hesitant fuzzy sets and their application to multi-criteria decision making problems. Int. J. Mach. Learn. & Cyber. 14, 33–62 (2023). https://doi.org/10.1007/s13042-021-01480-9

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