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Article type: Research Article
Authors: Perveen P.A., Fathimaa; * | Sunil, Jacob Johna | Babitha, K.V.b | Garg, Harishc; *
Affiliations: [a] Department of Mathematics, National Institute of Technology Calicut, India | [b] Department of Mathematics, Government College Kasargod, India | [c] School of Mathematics, Thapar Institute of Engineering & Technology, Deemed University Patiala, India
Correspondence: [*] Corresponding author. Fathima Perveen P.A., Department of Mathematics, National Institute of Technology Calicut-673 601, India and Harish Garg, School of Mathematics, Thapar Institute of Engineering & Technology, Deemed University Patiala-147004, India. Tel: +918699031147; URL: http://sites.google.com/site/harishg58iitr/. E-mails: [email protected] and [email protected].
Abstract: In this paper, the definition of spherical fuzzy soft sets and some of its properties are introduced. Spherical fuzzy soft sets are a generalization of soft sets. Notably, we showed DeMorgan’s laws that are valid in spherical fuzzy soft set theory. Also, we propose an algorithm to solve the decision-making problem based on adjustable soft discernibility matrix. It gives an order relation between all the objects of our universe. Finally, an illustrative example is discussed to prove that they can be effectively used to solve problems with uncertainties.
Keywords: Soft sets, spherical fuzzy sets, spherical fuzzy soft sets, soft discernibility matrix, decision-making problem
DOI: 10.3233/JIFS-190728
Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 6, pp. 8237-8250, 2019
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