Results on generalized intuitionistic fuzzy hypergroupoids

Article type: Research Article

Authors: Konwar, Nabanita^a | Davvaz, Bijan^b | Debnath, Pradip^{c; *}

Affiliations: [a] Department of Mathematics, North Eastern Regional Institute of Science and Technology, Nirjuli, Arunachal Pradesh, India | [b] Department of Mathematics, Yazd University, Yazd, Iran | [c] Department of Applied Science and Humanities, Assam University, Silchar, Cachar, India

Correspondence: [*] Corresponding author. Pradip Debnath, Department of Applied Science and Humanities, Assam University, Silchar, Cachar - 788011, India; Tel.:+91 8575 158469; Fax: +91 3602 258533. E-mails: pradip.debnath@aus.ac.in and pdn@nerist.ac.in.

Abstract:  In this paper, we introduce and study the concept of generalized intuitionistic fuzzy hypergraph (shortly, g-if-hypergraph) and establish a relation between generalized if-hypergraph and if-hyperstructures. Further, we introduce partial if-hypergroupoid and extend the results for higher order if-hypergroupoids and study their properties.

Keywords: (g-if)-hypergraph, (g-if)^p-hypergroupoid, if-H_v-structure, separable partial if-hypergroupoid

DOI: 10.3233/JIFS-181522

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 3, pp. 2571-2580, 2019