Application of Neutrosophic Soft Sets to K-Algebras

Neutrosophic sets and soft sets are two different mathematical tools for representing vagueness and uncertainty. We apply these models in combination to study vagueness and uncertainty in K-algebras. We introduce the notion of single-valued neutrosophic soft (SNS) K-algebras and investigate some of their properties. We establish the notion of ( ∈ , ∈ ∨ q ) -single-valued neutrosophic soft K-algebras and describe some of their related properties. We also illustrate the concepts with numerical examples.

[1]  Harish Garg,et al.  Some hybrid weighted aggregation operators under neutrosophic set environment and their applications to multicriteria decision-making , 2018, Applied Intelligence.

[2]  Krassimir T. Atanassov,et al.  Intuitionistic Fuzzy Sets - Theory and Applications , 1999, Studies in Fuzziness and Soft Computing.

[3]  Muhammad Akram,et al.  Certain Notions of Single-Valued Neutrosophic K-Algebras , 2018 .

[4]  Pabitra Kumar Maji,et al.  Neutrosophic Soft Set , 2013 .

[5]  Harish Garg,et al.  Multi-Criteria Decision-Making Method Based on Prioritized Muirhead Mean Aggregation Operator under Neutrosophic Set Environment , 2018, Symmetry.

[6]  Muhammad Akram,et al.  Applications of Soft Sets in K-Algebras , 2013, Adv. Fuzzy Syst..

[7]  Muhammad Akram,et al.  APPLICATION OF BIPOLAR FUZZY SOFT SETS IN K-ALGEBRAS , 2014 .

[8]  Muhammad Akram,et al.  Certain Notions of Neutrosophic Topological K-Algebras , 2018, Mathematics.

[9]  Robert LIN,et al.  NOTE ON FUZZY SETS , 2014 .

[10]  Florentin Smarandache,et al.  Neutrosophic set - a generalization of the intuitionistic fuzzy set , 2004, 2006 IEEE International Conference on Granular Computing.

[11]  K. H. Dar.  On K-Homomorphisms of K-Algebras , 2007 .

[12]  Harish Garg,et al.  Linguistic single-valued neutrosophic prioritized aggregation operators and their applications to multiple-attribute group decision-making , 2018, Journal of Ambient Intelligence and Humanized Computing.

[13]  K. H. Dar,et al.  Characterization of K-algebras by self maps II , 2010 .

[14]  Muhammad Akram,et al.  Intuitionistic Fuzzy Soft K-Algebras , 2013, Math. Comput. Sci..

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

[16]  Rajshekhar Sunderraman,et al.  Single Valued Neutrosophic Sets , 2010 .

[17]  Muhammad Akram,et al.  Interval-valued (alpha, beta)-fuzzy K-algebras , 2011, Appl. Soft Comput..