Decision aid modeling based on sine trigonometric spherical fuzzy aggregation information

Spherical fuzzy sets have recently become more popular in various fields. It was proposed as a generalization of picture fuzzy sets and Pythagorean fuzzy sets in order to deal with uncertainty and fuzziness information. This paper presents a multi-attribute group decision making method based on novel sine aggregation operators to help decision makers choose the optimal alternative. Moreover, the well-known sine trigonometry function preserves the periodic and symmetric nature about the origin, and hence, it satisfies the decision makers preferences over the multi-time phase parameters. Keeping these features and the importance of the spherical fuzzy (SF) sets, the objective of this paper is to present some robust sine trigonometric (ST) operation laws for SF sets. Associated with these laws, we define some series of new aggregation operators (AOs) named as ST-weighted averaging and geometric operators to aggregate the spherical fuzzy information. Afterward, we present group decision making techniques to solve the multi-attribute group decision making problems based on proposed AOs and illustrate with a numerical example of an internet finance soft power evaluation problem to validate it. Also, we conduct some comparison analysis to study the reasonability and practicality of the proposed method.

[1]  Ronald R. Yager,et al.  Pythagorean fuzzy subsets , 2013, 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS).

[2]  Saleem Abdullah,et al.  Fuzzy decision support modeling for internet finance soft power evaluation based on sine trigonometric Pythagorean fuzzy information , 2020, Journal of Ambient Intelligence and Humanized Computing.

[3]  Tahir Mahmood,et al.  Covering-Based Spherical Fuzzy Rough Set Model Hybrid with TOPSIS for Multi-Attribute Decision-Making , 2019, Symmetry.

[4]  Mohammed Al-Smadi,et al.  Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions , 2020, Soft Comput..

[5]  Saleem Abdullah,et al.  Spherical Fuzzy Logarithmic Aggregation Operators Based on Entropy and Their Application in Decision Support Systems , 2019, Entropy.

[6]  Omar Abu Arqub,et al.  Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations , 2017, Neural Computing and Applications.

[7]  T. Mahmood,et al.  GRA method based on spherical linguistic fuzzy Choquet integral environment and its application in multi-attribute decision-making problems , 2018, Mathematical Sciences.

[8]  Saleem Abdullah,et al.  Spherical fuzzy sets and its representation of spherical fuzzy t-norms and t-conorms , 2019, J. Intell. Fuzzy Syst..

[9]  Harish Garg,et al.  A novel trigonometric operation-based q-rung orthopair fuzzy aggregation operator and its fundamental properties , 2020, Neural Computing and Applications.

[10]  Zeshui Xu,et al.  Group consistency and group decision making under uncertain probabilistic hesitant fuzzy preference environment , 2017, Inf. Sci..

[11]  Tahir Mahmood,et al.  Spherical fuzzy sets and their applications in multi-attribute decision making problems , 2019, J. Intell. Fuzzy Syst..

[12]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[13]  Tasawar Hayat,et al.  Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method , 2015, Soft Computing.

[14]  Saleem Abdullah,et al.  Linguistic Spherical Fuzzy Aggregation Operators and Their Applications in Multi-Attribute Decision Making Problems , 2019, Mathematics.

[15]  Lazim Abdullah,et al.  Linguistic Picture Fuzzy Dombi Aggregation Operators and Their Application in Multiple Attribute Group Decision Making Problem , 2019, Mathematics.

[16]  Harish Garg,et al.  New exponential operational laws and their aggregation operators for interval‐valued Pythagorean fuzzy multicriteria decision‐making , 2018, Int. J. Intell. Syst..

[17]  Zeshui Xu,et al.  Exponential operations for intuitionistic fuzzy numbers and interval numbers in multi-attribute decision making , 2016, Fuzzy Optimization and Decision Making.

[18]  Tahir Mahmood,et al.  The cosine similarity measures of spherical fuzzy sets and their applications in decision making , 2019, J. Intell. Fuzzy Syst..

[19]  I. Turksen.  Interval valued fuzzy sets based on normal forms , 1986 .

[20]  Saleem Abdullah,et al.  Symmetric sum based aggregation operators for spherical fuzzy information: Application in multi-attribute group decision making problem , 2020, J. Intell. Fuzzy Syst..

[21]  Qaisar Khan,et al.  An approach toward decision-making and medical diagnosis problems using the concept of spherical fuzzy sets , 2019, Neural Computing and Applications.

[22]  Tasawar Hayat,et al.  Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems , 2017, Soft Comput..

[23]  Tahir Mahmood,et al.  Cleaner Production Evaluation in Gold Mines Using Novel Distance Measure Method with Cubic Picture Fuzzy Numbers , 2019, International Journal of Fuzzy Systems.

[24]  Sadaaki Miyamoto,et al.  Remarks on basics of fuzzy sets and fuzzy multisets , 2005, Fuzzy Sets Syst..

[25]  Omar Abu Arqub.  Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations , 2017 .

[26]  Qaisar Khan,et al.  Different Approaches to Multi-Criteria Group Decision Making Problems for Picture Fuzzy Environment , 2018, Bulletin of the Brazilian Mathematical Society, New Series.

[27]  Harish Garg,et al.  New logarithmic operational laws and their aggregation operators for Pythagorean fuzzy set and their applications , 2018, Int. J. Intell. Syst..

[28]  Florentin Smarandache,et al.  Logarithmic Hybrid Aggregation Operators Based on Single Valued Neutrosophic Sets and Their Applications in Decision Support Systems , 2019, Symmetry.

[29]  Saleem Abdullah,et al.  Spherical aggregation operators and their application in multiattribute group decision‐making , 2018, Int. J. Intell. Syst..

[30]  Saleem Abdullah,et al.  Utilizing Linguistic Picture Fuzzy Aggregation Operators for Multiple-Attribute Decision-Making Problems , 2020, Int. J. Fuzzy Syst..

[31]  Lazim Abdullah,et al.  Child Development Influence Environmental Factors Determined Using Spherical Fuzzy Distance Measures , 2019, Mathematics.

[32]  Tahir Mahmood,et al.  Spherical fuzzy Dombi aggregation operators and their application in group decision making problems , 2020, J. Ambient Intell. Humaniz. Comput..

[33]  Saleem Abdullah,et al.  Fuzzy Decision Support Modeling for Hydrogen Power Plant Selection Based on Single Valued Neutrosophic Sine Trigonometric Aggregation Operators , 2020, Symmetry.