γ-Hyperconnectedness and fuzzy mappings in fuzzy bitopological spaces

Article type: Research Article

Authors: Paul, Arnab^* | Bhattacharya, Baby | Chakraborty, Jayasree

Affiliations: Department of Mathematics, NIT Agartala, West Tripura, India

Correspondence: [*] Corresponding author. Arnab Paul, Department of Mathematics, NIT Agartala, West Tripura, India. Tel.: +91 9862977596; Fax: +0381 2346 360. E-mail: mrarnabpaul87@gmai.com.

Abstract: The main objective of this paper is to introduce another new conception of fuzzy bitopological space called(i, j)-fuzzy γ-hyperconnectedness concerned with the recent significant work on γ-open sets. This paper also presents some of its characterizations in terms of various fuzzy bitopological notions. Applying this new effective idea we move forward one more step to study the difference between bitopological space and fuzzy bitopological space. Finally, relationships among the several newly defined functions are established as applications.

Keywords: (i, j)-fuzzy γ-hyperconnected space, (i, j)-fuzzy γ-open set, (i, j)-fuzzy γ-semi continuity, (i, j)-fuzzy γ-dense set, (i, j)-fuzzy γ-semi open set

DOI: 10.3233/JIFS-152620

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 3, pp. 1815-1820, 2017