A study on delta-I-compactness in a mixed fuzzy ideal topological space

• Autorzy: Pal Hrituraj , Hoque Md Mirazul , Bhattacharya Baby , Chakraborty Jayasree

Identyfikatory

DOI

10.1515/jaa-2023-0163

• Języki publikacji: EN

Abstrakty

EN

The role of fuzzy δ-open set is highly significant in the study of fuzzy topology initiated by Ganguly and Saha [S. Ganguly and S. Saha, A note on δ-continuity and δ-connected sets in fuzzy set theory, Simon Stevin 62 (1988), no. 2, 127-141]. This article begins with the introduction of δ-I-open covers in a mixed fuzzy ideal topological space. After that, we introduce δ-I-compactness and then some properties of its are discussed therein. It is shown that the aforesaid compactness is the weaker form of fuzzy compactness. Moreover, we show that if we retopologize the fuzzy topology then in the new environment fuzzy δ-I-compactness and fuzzy compactness are equivalent. In addition, we introduce two different notions of continuity and investigate the behawior between fuzzy δ-I-compactness and fuzzy compactness.

Słowa kluczowe

EN

fuzzy delta-I-open cover; fuzzy delta-I-cluster point; fuzzy regularly-I open sets; fuzzy delta-I-continuous functions

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2024
• Tom: Vol. 30, nr 1
• Strony: 129--135
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Pal Hrituraj

• Department of Mathematics, NIT Agartala, Agartala(W), Pin-799046, India

autor

Hoque Md Mirazul

• Department of Mathematics, NIT Agartala, Agartala(W), Pin-799046, India

autor

Bhattacharya Baby

• Department of Mathematics, NIT Agartala, Agartala(W), Pin-799046, India

autor

Chakraborty Jayasree

• Department of Mathematics, NIT Agartala, Agartala(W), Pin-799046, India

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).