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Issue title: Recent Advances in Soft Computing: Theories and Applications
Article type: Research Article
Authors: Tripathy, Binod Chandra | Debnath, Shyamal
Affiliations: Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Baragaon, Garchuk, Guwahati, India | Department of Mathematics, Tripura University, Suryamaninagar, Agartala, India
Note: [] Corresponding author. Binod Chandra Tripathy, Mathematical Science Division, Institute of Advanced Study in Science and Technology, Paschim Baragaon, Garchuk, Guwahati-781035, India. Tel.: +91 9864087231; Fax: +91 361 2279912; E-mails: [email protected]; [email protected] (Binod Chandra Tripathy) and [email protected] (Shyamal Debnath).
Abstract: In this paper we introduce the notion of γ-open sets and γ-continuous functions in fuzzy bitopological spaces. We examine some basic properties and prove some characterization theorems for the said functions. It is observed that every pairwise fuzzy γ-continuous functions is pairwise fuzzy precontinuous but the converse not true.
Keywords: Topology, fuzzy numbers, fuzzy bitopological space, pre-open sets, continuous function
DOI: 10.3233/IFS-2012-0582
Journal: Journal of Intelligent & Fuzzy Systems, vol. 24, no. 3, pp. 631-635, 2013
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