Spherical Fuzzy Soft Sets

In this chapter, the definition of spherical fuzzy soft sets (SFSSs) and a few of its properties are introduced. SFSSs are presented as a generalization of soft sets. Notably, we tend to showed DeMorgan’s laws that are valid is SFSS theory. Also, we advocate an algorithm to solve the decision-making problem primarily based on adjustable soft discernibility matrix. It offers an order relation among all the items of our universe. Finally, an illustrative example is mentioned to show that they can be successfully used to solve problems with uncertainties.

[1]  Muhammad Irfan Ali,et al.  A note on soft sets, rough soft sets and fuzzy soft sets , 2011, Appl. Soft Comput..

[2]  A. R. Roy,et al.  An application of soft sets in a decision making problem , 2002 .

[3]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[4]  Naim Çagman,et al.  Soft matrix theory and its decision making , 2010, Comput. Math. Appl..

[5]  Harish Garg,et al.  New Operations on Interval-Valued Picture Fuzzy Set, Interval-Valued Picture Fuzzy Soft Set and Their Applications , 2019, IEEE Access.

[6]  Tsau Young Lin,et al.  Combination of interval-valued fuzzy set and soft set , 2009, Comput. Math. Appl..

[7]  Muhammad Irfan Ali,et al.  Another view on reduction of parameters in soft sets , 2012, Appl. Soft Comput..

[8]  Harish Garg,et al.  Generalized and group-based generalized intuitionistic fuzzy soft sets with applications in decision-making , 2017, Applied Intelligence.

[9]  Yong Tang,et al.  An adjustable approach to intuitionistic fuzzy soft sets based decision making , 2011 .

[10]  A. R. Roy,et al.  A fuzzy soft set theoretic approach to decision making problems , 2007 .

[11]  Harish Garg,et al.  Correlation coefficients for T-spherical fuzzy sets and their applications in clustering and multi-attribute decision making , 2020, Soft Comput..

[12]  Cengiz Kahraman,et al.  Spherical fuzzy sets and spherical fuzzy TOPSIS method , 2019, J. Intell. Fuzzy Syst..

[13]  Harish Garg,et al.  Algorithms for interval-valued fuzzy soft sets in emergency decision making based on WDBA and CODAS with new information measure , 2018, Computers & Industrial Engineering.

[14]  Cengiz Kahraman,et al.  A novel VIKOR method using spherical fuzzy sets and its application to warehouse site selection , 2019, J. Intell. Fuzzy Syst..

[15]  Cengiz Kahraman,et al.  Extension of WASPAS with Spherical Fuzzy Sets , 2019, Informatica.

[16]  Harish Garg,et al.  Spherical fuzzy soft sets and its applications in decision-making problems , 2019, J. Intell. Fuzzy Syst..

[17]  Harish Garg,et al.  A novel entropy measure of Pythagorean fuzzy soft sets , 2020, AIMS Mathematics.

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

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

[20]  Pinaki Majumdar,et al.  Generalised fuzzy soft sets , 2010, Comput. Math. Appl..

[21]  Zeshui Xu,et al.  Intuitionistic Fuzzy Aggregation Operators , 2007, IEEE Transactions on Fuzzy Systems.

[22]  Hüseyin Kamacı,et al.  Bijective soft matrix theory and multi-bijective linguistic soft decision system , 2018 .

[23]  W.-L. Gau,et al.  Vague sets , 1993, IEEE Trans. Syst. Man Cybern..

[24]  Harish Garg,et al.  Entropy and distance measures of Pythagorean fuzzy soft sets and their applications , 2019, J. Intell. Fuzzy Syst..

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

[26]  Yong Yang,et al.  Adjustable soft discernibility matrix based on picture fuzzy soft sets and its applications in decision making , 2015, J. Intell. Fuzzy Syst..

[27]  Ying Zhou,et al.  Soft discernibility matrix and its applications in decision making , 2014, Appl. Soft Comput..

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

[29]  Bijan Davvaz,et al.  Soft sets combined with fuzzy sets and rough sets: a tentative approach , 2010, Soft Comput..

[30]  Jerzy W. Grzymala-Busse,et al.  Rough Sets , 1995, Commun. ACM.

[31]  Pabitra Kumar Maji,et al.  FUZZY SOFT SETS , 2001 .

[32]  Harish Garg Some Picture Fuzzy Aggregation Operators and Their Applications to Multicriteria Decision-Making , 2017, Arabian Journal for Science and Engineering.

[33]  Aslam Muhammad,et al.  N-soft topology and its applications to multi-criteria group decision making , 2019, J. Intell. Fuzzy Syst..

[34]  Cengiz Kahraman,et al.  A novel hesitant fuzzy EDAS method and its application to hospital selection , 2018, J. Intell. Fuzzy Syst..

[35]  Vladik Kreinovich,et al.  Picture fuzzy sets - A new concept for computational intelligence problems , 2013, 2013 Third World Congress on Information and Communication Technologies (WICT 2013).

[36]  Harish Garg,et al.  A robust aggregation operators for multi-criteria decision-making with intuitionistic fuzzy soft set environment , 2017 .

[37]  Liqun Gao,et al.  Letter to the editor: Comment on A fuzzy soft set theoretic approach to decision making problems , 2009 .

[38]  Akin Osman Atagün,et al.  Cardinality inverse soft matrix theory and its applications in multicriteria group decision making , 2018, J. Intell. Fuzzy Syst..

[39]  D. Molodtsov Soft set theory—First results , 1999 .