A New Notion of Fuzzy Local Function and Some Applications. (13th June 2022)

• Record Type: Journal Article
• Authors: Taha, I. M.; Abbas, S. E.
• Other Names: Di Martino Ferdinando Academic Editor.
• Is Part Of: Advances in fuzzy systems. Volume 2022(2022)
• Publication Date: 2022-06-13
• Subjects: Fuzzy systems -- Periodicals; Systèmes flous; Fuzzy systems; Periodicals; 511.313
• DOI: 10.1155/2022/8954163
• Languages: English
• ISSNs: 1687-7101

Abstract

Abstract : In this paper, a new notion of fuzzy local function called r -fuzzy local function is introduced, and some properties are given in a fuzzy ideal topological space X, τ, ℓ in Šostak sense. After that, the concepts of fuzzy upper (resp., lower) almost ℓ -continuous, weakly ℓ -continuous, and almost weakly ℓ -continuous multifunctions are introduced. Some properties and characterizations of these multifunctions along with their mutual relationships are discussed with the help of examples.