𝑝𝑠-𝑟𝑜 fuzzy 𝛼-irresolute functions

Autor: Pankaj Chettri, Anamika Chettri
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Songklanakarin Journal of Science and Technology (SJST), Vol 40, Iss 5, Pp 1055-1060 (2018)
Druh dokumentu: article
ISSN: 0125-3395
DOI: 10.14456/sjst-psu.2018.130
Popis: 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.
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