A Study on Fuzzy Multifunctions in Šostak’s Sense: To Investigate More Structure of Fuzzy Upper and Fuzzy Lower Continuous Multifunctions - Softcover

Rashed, Islam Mohamed Taha; Ahmed, Salah El-Deen Abbas

Softcover

ISBN 10: 6202078030 ISBN 13: 9786202078030

Publisher: LAP LAMBERT Academic Publishing, 2017

Synopsis

A fuzzy multifunction is a fuzzy set valued function. Fuzzy multifunctions arise in many applications, for instance, the budget multifunction occurs in economic theory, artificial intelligence and decision theory. The biggest difference between fuzzy functions and fuzzy multifunctions has to do with the definition of an inverse image. For a fuzzy multifunction there are two types of inverses. These two definitions of the inverse then leads to two definitions of continuity. Papageorgiou (1985), introduced the notion of fuzzy multifunction and extended the concepts of fuzzy continuous functions to the fuzzy multivalued case, by introducing of fuzzy upper (lower) semi-continuous multifunctions. In 2015, Ramadan and Abd El-latif, introduced and studied the concepts of fuzzy upper (lower) almost continuous, weakly continuous and semi-continuous multifunctions where the domain of these functions is a classical topological space with their values as arbitrary fuzzy sets in fuzzy topological space. The purpose of this book is to introduce and study many forms of fuzzy upper (lower) continuous multifunctions where both domain and codomain are fuzzy topological spaces in Šostak’s sense.

About this title

About the Author

Dr. Islam Mohamed Taha Rashed has obtained his Ph.D. degree in mathematics (Topology) in 2017 from Sohag University, Egypt. He is currently Assistant Professor at Tabuk University, Saudi Arabia. His research interests include general topology, fuzzy topology, fuzzy ideals and soft topology.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2017
• Language: English
• ISBN 10: 6202078030
• ISBN 13: 9786202078030
• Binding: Paperback
• Number of pages: 156