Fuzzy neutrosophic soft σ-algebra and fuzzy neutrosophic soft measure with applications

Article type: Research Article

Authors: Naeem, Khalid^{a; *} | Riaz, Muhammad^b | Afzal, Deeba^a

Affiliations: [a] Department of Mathematics & Statistics, The University of Lahore, Pakistan | [b] Department of Mathematics, University of the Punjab, Lahore, Pakistan

Correspondence: [*] Corresponding author. Khalid Naeem, Department of Mathematics & Statistics, The University of Lahore, Pakistan. E-mail: khalidnaeem333@gmail.com.

Abstract: The inspiration behind this article is to introduce the notions of fuzzy neutrosophic soft σ-algebra ( fns σ-algebra), fuzzy neutrosophic soft measure ( fns measure) and fns outer measure using the concepts of fuzzy sets, soft sets, neutrosophic sets and soft σ-algebra. A number of related results along with elaborative examples are also included. We render an algorithm based upon fns -mapping to deal with imprecise data utilizing mean proportional operator and employ it on multi-criteria group decision making (MCGDM) problem to exhibit its efficacy.

Keywords: 𝔉𝔑𝔖 σ-algebra, 𝔉𝔑𝔖-measure, 𝔉𝔑𝔖 outer measure, MCGDM

DOI: 10.3233/JIFS-191062

Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 1, pp. 277-287, 2020