• Title/Summary/Keyword: axioms

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ON SOME PROPERTIES OF THE BLASS TOPOS

  • Kim, Ig-Sung
    • The Pure and Applied Mathematics
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    • v.2 no.1
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    • pp.25-29
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    • 1995
  • The topos constructed in [6] is a set-like category that includes among its axioms an axiom of infinity and an axiom of choice. In its final form a topos is free from any such axioms. Set$\^$G/ is a topos whose object are G-set Ψ$\sub$s/:G${\times}$S\longrightarrowS and morphism f:S \longrightarrowT is an equivariants map. We already known that Set$\^$G/ satisfies the weak form of the axiom of choice but it does not satisfies the axiom of the choice.(omitted)

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Fuzzy Separability and Axioms of Countability in Fuzzy Hyperspaces

  • Kul-Hur;Ryu, Jang-Hyun;Baek, B.S
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2002.12a
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    • pp.67-70
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    • 2002
  • We study some relations between separability in fuzzy topological spaces and one in fuzzy hyperspaces. And we investigate some properties of axiom of countability in fuzzy hyperspaces.

MORE ON FUZZY MAXIMAL, MINIMAL OPEN AND CLOSED SETS

  • SWAMINATHAN, A.;SIVARAJA, S.
    • Journal of applied mathematics & informatics
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    • v.39 no.3_4
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    • pp.251-257
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    • 2021
  • 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.

SOME EXTENSION ON HESITANT FUZZY MAXIMAL, MINIMAL OPEN AND CLOSED SETS

  • M. SANKARI;C. MURUGESAN
    • Journal of applied mathematics & informatics
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    • v.41 no.2
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    • pp.265-272
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    • 2023
  • This article presents a novel notion of hesitant fuzzy cleanly covered in hesitant fuzzy topological spaces;moreover two strong hesitant fuzzy separation axioms are investigated. Based on fuzzy maximal open sets few properties of hesitant fuzzy cleanly covered are obtained. By dint of hesitant fuzzy minimal open and fuzzy maximal closed sets two strong hesitant fuzzy separation axioms are extended.

Regularity and Normality in Soft Bitopological Ordered Spaces

  • S. A. El-Sheikh;S. A. Kandil;S. Hussien
    • International Journal of Computer Science & Network Security
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    • v.24 no.6
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    • pp.49-58
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    • 2024
  • This paper examines regularity and normality in soft separation axioms for soft bitopological ordered spaces and their relationships with other properties. The findings expand our understanding of bitopological ordered spaces. Previous research, such as Al-Shami's work [3], has established distinctions between separation axioms in topological ordered spaces, which are more effective in describing these spaces' properties.

A Study on the New Management Technology Model in Service Economy Era (서비스경제시대의 경영기술 연구)

  • Hyunsoo Kim
    • Journal of Service Research and Studies
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    • v.10 no.4
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    • pp.101-125
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    • 2020
  • This study was conducted to derive a management technology model based on the new management framework established in previous studies. The management technology sector, which occupies most of the existing business administration, is defined as a technical division in new management. In this study, the theory of management technology based on the service philosophy of the service economy era was presented. The structure of new business, which is the basis of new management technology, is presented first, the service philosophy of the service economy era where management is performed, and then the management technology model based on service philosophy is presented. The management technology model was derived on the basis of immutable axioms. After presenting new management axioms based on common human ideology and nature and human nature, a management technology model was presented based on axioms. On the basis of the axioms, a new dialectical development model was developed as a model for the dialectical development that maintains a tight balance and a fierce interaction between two opposing parties based on the structure and operation model of service philosophy. In addition to the overall organizational management model, a management function model and a management expansion model were presented. Each detailed technique is presented as a model for dialectical development of opposing confrontations. Management technology is a dynamic technology that is constantly changing, and is an overall technology that takes into account various situations and viewpoints. This study has significance as a basic study to overcome the limitations of the existing static management technology and develop dynamic management technology. Future research requires empirical analytical studies on new management technology models.