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Article type: Research Article
Authors: Myithili, K.K.a; * | Beulah, R.D.b
Affiliations: [a] Department of Mathematics (CA), Vellalar College for Women, Erode, Tamilnadu, India | [b] Department of Mathematics, Sri GVG Visalakshi College for Women, Udumalpet, Tamilnadu, India
Correspondence: [*] Corresponding author. K.K. Myithili, Department of Mathematics (CA), Vellalar College for Women, Erode-683012, Tamilnadu, India. Email: mathsmyth@gmail.com.
Abstract: The concept of intuitionistic fuzzy soft set is applied to generalize the theory of transversals in hypergraphs. The notion of transversals of an Intuitionistic Fuzzy Soft Hypergraphs (IFSHGs) and locally minimal transversals of IFSHGs are pioneered with some of its specifications. It is also proved that H˜ is (μ, ν)-tempered IFSHGs if H˜ is support simple, elementary and simply ordered. Then, an algorithm is developed and proposed to find the minimal transversals of IFSHGs. An application is also identified in selecting appropriate location for the installation of wind turbines. Finally the proposed algorithm works in finding the suitable place for wind turbine installation. As a result the proposed algorithm is helpful in making decisions.
Keywords: Transversals, locally minimal transversals, (μ, ν)-tempered IFSHGs
DOI: 10.3233/JIFS-222714
Journal: Journal of Intelligent & Fuzzy Systems, vol. 46, no. 4, pp. 8205-8212, 2024
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