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Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 20 > No. 1

 
   

Graded (L,M)-Fuzzy α-Continuous and (L,M)-Fuzzy α-Irresolute Functions

PP: 107-120
doi:10.18576/amis/200107        
Author(s)
Wadei Al-omeri,
Abstract
The objective of this paper is to investigate α-openness, α-continuity, and α-irresoluteness for functions within the framework of (L,M)-fuzzy pretopology, using the implication operation and the (L,M)-fuzzy α-open operator as introduced by Li [1]. We further expand on the characteristics of these concepts so that they apply to the (L,M)-fuzzy pretopological environment, which is based on graded principles. Moreover, we analyze their connections to the concepts of α-compactness, α-connectedness, and the axioms associated with α-separation.

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