• 제목/요약/키워드: irresolute

검색결과 46건 처리시간 0.014초

IRRESOLUTE TOPOLOGICAL RING WITH INHERENT PROPERTIES

  • SHALLU SHARMA;TSERING LANDOL;SAHIL BILLAWRIA
    • Journal of applied mathematics & informatics
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    • 제41권4호
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    • pp.697-705
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    • 2023
  • We studied new notions of analogues of topological rings. Salih [10] acquaints us with the notion of irresolute topological ring in 2018. In this paper, we further studied the space closely and characterized indispensable properties of the space. We prove that every open subset of an irresolute topological ring is irresolute topological ring. We also obtained the equivalent condition of neighborhood of an element in an irresolute topological ring. It is proved that ring homeomorphism of an irresolute topological ring is irresolute if it is irresolute at identity element e in the irresolute topological ring 𝓡.

FUZZY PAIRWISE $\gamma$-IRRESOLUTE HOMEOMORPHISMS

  • Lee, Hyo-Sam;Lee, Joo-Sung;Im, Young-Bin
    • Journal of applied mathematics & informatics
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    • 제26권3_4호
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    • pp.757-766
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    • 2008
  • We define and characterize a fuzzy pairwise $\gamma$-irresolute open mapping (fuzzy pairwise $\gamma$-irresolute closed mapping) on a fuzzy bitopological space. We also characterize a fuzzy pairwise $\gamma$-irresolute homeomorphism on a fuzzy bitopological space.

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P-I-OPEN MAPPINGS, P-I-CONTINUOUS MAPPINGS AND P-I-IRRESOLUTE MAPPINGS

  • Kim, Ji-Yoon;Kim, Chang-Su
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제16권4호
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    • pp.383-404
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    • 2009
  • The notions of P-I-open (closed) mappings, P-I-continuous mappings, P-I-neighborhoods, P-I-irresolute mappings and I-irresolute mappings are introduced. Relations between P-I-open (closed) mappings and I-open (closed) mappings are given. Characterizations of P-I-open (closed) mappings are provided. Relations between a P-I-continuous mapping and an I-continuous mapping are discussed, and characterizations of a P-I-continuous mapping are considered. Conditions for a mapping to be an I-irresolute mapping (resp. P-I-irresolute mapping) are provided.

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Properties of fuzzy (r, s)-semi-irresolute Mappings in Intuitionistic Fuzzy Topological Spaces

  • Lee, Seok-Jong;Kim, Jin-Tae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제11권3호
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    • pp.190-196
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    • 2011
  • In this paper, we introduce the concept of fuzzy (r, s)-semi-irresolute mappings on intuitionistic fuzzy topological spaces in Sostak's sense, which is a generalization of the concept of fuzzy semi-irresolute mappings introduced by S. Malakar. The characterizations for the fuzzy (r, s)-semi-irresolute mappings are obtained by terms of semi-interior, semi-${\theta}$-interior, semi-clopen, and regular semi-open.