𝑝𝑠-𝑟𝑜 fuzzy 𝛼-irresolute functions

• Main Authors: Pankaj Chettri, Anamika Chettri
• Format: Article
• Language: English
• Published: Prince of Songkla University 2018-10-01
• Series: Songklanakarin Journal of Science and Technology (SJST)
• Subjects: 𝑝𝑠-𝑟𝑜 fuzzy topology; 𝑝𝑠-𝑟𝑜 fuzzy α-irresolute functions; 𝑝𝑠-𝑟𝑜 fuzzy α-nbd; 𝑝𝑠-𝑟𝑜 fuzzy dense set
• Online Access: https://rdo.psu.ac.th/sjstweb/journal/40-5/10.pdf

The aim of this paper is to initiate and study a new class of functions termed as 𝑝𝑠-𝑟𝑜 fuzzy 𝛼-irresolute functions. It is found that this class of functions is independent of the existing class of fuzzy α-irresolute, 𝑝𝑠-𝑟𝑜 fuzzy irresolute and 𝑝𝑠-𝑟𝑜 fuzzy continuous functions. Also the 𝑝𝑠-𝑟𝑜 fuzzy α-irresoluteness is found to be stronger than 𝑝𝑠-𝑟𝑜 fuzzy semicontinuity, 𝑝𝑠- 𝑟𝑜 fuzzy irresoluteness and 𝑝𝑠-𝑟𝑜fuzzy α-continuity. Several characterizations of these functions are obtained in terms of newly introduced concept of 𝑝𝑠-α interior (closure) operators, 𝑝𝑠-𝑟𝑜 fuzzy α-nbd, 𝑝𝑠-𝑟𝑜 fuzzy dense set and their graphs.