On upper and lower generalized semi-continuous fuzzy multifunctions

Volume 25, Issue 3, pp 251--258 http://dx.doi.org/10.22436/jmcs.025.03.04

Publication Date: July 03, 2021 Submission Date: March 03, 2021 Revision Date: March 15, 2021 Accteptance Date: May 26, 2021

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Authors

I. M. Taha - Department of Basic Sciences, Higher Institute of Engineering and Technology, Menoufia, Egypt. - Department of Mathematics, Faculty of Science, Sohag University, Egypt.

Abstract

In this paper, the concepts of upper and lower generalized continuous (resp. semi-generalized continuous and generalized semi-continuous) fuzzy multifunctions are defined where the domain of these multifunctions is a classical topological space with their values as arbitrary fuzzy sets in a fuzzy topological space. Main properties of these multifunctions along with their mutual relationships are discussed with the help of examples. Also, a new approach to these multifunctions between two fuzzy topological spaces \((X,\tau)\) and \((Y,\eta)\) based on the sense of \v{S}ostak are introduced. Some properties of these multifunctions along with their mutual relationships are investigated with the help of examples.

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Keywords

• General topology
• fuzzy topology
• fuzzy multifunctions
• lower and upper generalized continuity

MSC

•  54A40
•  54C08
•  54C60

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