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MORE ON FUZZY MAXIMAL, MINIMAL OPEN AND CLOSED SETS
SWAMINATHAN, A.,SIVARAJA, S. The Korean Society for Computational and Applied M 2021 Journal of applied mathematics & informatics Vol.39 No.3
This article is devoted to introduce the notion of fuzzy cleanly covered fuzzy topological spaces; in addition two strong fuzzy separation axioms are studied. By means of fuzzy maximal open sets some properties of fuzzy cleanly covered fuzzy topological spaces are obtained and also by means of fuzzy maximal closed sets few identical results of a fuzzy topological spaces are investigated. Through fuzzy minimal open and fuzzy maximal closed sets, two strong fuzzy separation axioms are discussed.
HESITANT FUZZY PARAOPEN AND HESITANT FUZZY MEAN OPEN SETS
SWAMINATHAN, A.,SIVARAJA, S. The Korean Society for Computational and Applied M 2022 Journal of applied and pure mathematics Vol.4 No.3/4
The aim of this article is to introduce hesitant fuzzy paraopen and hesitant fuzzy mean open sets in hesitant fuzzy topological spaces. Moreover we investigate and extend some properties of hesitant fuzzy mean open with hesitant fuzzy paraopen, hesitant fuzzy minmimal open and maximal open sets in hesitant fuzzy topological spaces.
FUZZY COMPACTNESS, FUZZY REGULARITY VIA FUZZY MAXIMAL OPEN AND FUZZY MINIMAL CLOSED SETS
SWAMINATHAN, A.,SIVARAJA, S. The Korean Society for Computational and Applied M 2022 Journal of applied mathematics & informatics Vol.40 No.1-2
The aim of this article is to define fuzzy maximal open cover and discuss its few properties. we also defined and study fuzzy m-compact space and discussed its properties. Also we obtain few more results on fuzzy minimal c-regular and fuzzy minimal c-normal spaces. We have proved that a fuzzy Haussdorff m-compact space is fuzzy minimal c-normal.
ON FUZZY MAXIMAL, MINIMAL AND MEAN OPEN SETS
SWAMINATHAN, A.,SIVARAJA, S. The Korean Society for Computational and Applied M 2022 Journal of applied and pure mathematics Vol.4 No.1/2
We have observed that there exist certain fuzzy topological spaces with no fuzzy minimal open sets. This observation motivates us to investigate fuzzy topological spaces with neither fuzzy minimal open sets nor fuzzy maximal open sets. We have observed if such fuzzy topological spaces exist and if it is connected are not fuzzy cut-point spaces. We also study and characterize certain properties of fuzzy mean open sets in fuzzy T<sub>1</sub>-connected fuzzy topological spaces.
Hesitant fuzzy minimal and maximal open sets
A. Swaminathan,S. Sivaraja 한국전산응용수학회 2023 Journal of Applied and Pure Mathematics Vol.5 No.1
The aim of this article is to extend hesitant fuzzy minimal open and hesitant fuzzy maximal open sets in hesitant fuzzy topological space. Further, we investigate some properties with these new sets.
On fuzzy maximal, minimal and mean open sets
A. Swaminathan,S. Sivaraja 한국전산응용수학회 2022 Journal of Applied and Pure Mathematics Vol.4 No.1
We have observed that there exist certain fuzzy topological spaces with no fuzzy minimal open sets. This observation motivates us to investigate fuzzy topological spaces with neither fuzzy minimal open sets nor fuzzy maximal open sets. We have observed if such fuzzy topological spaces exist and if it is connected are not fuzzy cut-point spaces. We also study and characterize certain properties of fuzzy mean open sets in fuzzy T_1-connected fuzzy topological spaces.
Hesitant fuzzy paraopen and hesitant fuzzy mean open sets
A. Swaminathan,S. Sivaraja 한국전산응용수학회 2022 Journal of Applied and Pure Mathematics Vol.4 No.3
The aim of this article is to introduce hesitant fuzzy paraopen and hesitant fuzzy mean open sets in hesitant fuzzy topological spaces. Moreover we investigate and extend some properties of hesitant fuzzy mean open with hesitant fuzzy paraopen, hesitant fuzzy minmimal open and maximal open sets in hesitant fuzzy topological spaces.
HESITANT FUZZY MINIMAL AND MAXIMAL OPEN SETS
A. SWAMINATHAN,S. SIVARAJA The Korean Society for Computational and Applied M 2023 Journal of applied and pure mathematics Vol.5 No.1/2
The aim of this article is to extend hesitant fuzzy minimal open and hesitant fuzzy maximal open sets in hesitant fuzzy topological space. Further, we investigate some properties with these new sets.