• 제목/요약/키워드: fuzzy mappings

검색결과 221건 처리시간 0.142초

NEW KINDS OF OPEN MAPPINGS VIA FUZZY NANO M-OPEN SETS

  • V. KALAIYARASAN;S. TAMILSELVAN;A. PRABHU;C. JOHN SUNDAR
    • Journal of applied mathematics & informatics
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    • 제41권3호
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    • pp.525-540
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    • 2023
  • In this paper, we introduce the concept of fuzzy nano M open and fuzzy nano M closed mappings in fuzzy nano topological spaces. Also, we study about fuzzy nano M Homeomorphism, almost fuzzy nano M totally mappings, almost fuzzy nano M totally continuous mappings and super fuzzy nano M clopen continuous functions and their properties in fuzzy nano topological spaces. By using these mappings, we can able to extended the relation between normal spaces and regular spaces in fuzzy nano topological spaces.

REMARKS ON INTERVAL-VALUED FUZZY MINIMAL PRECONTINUOUS MAPPINGS AND INTERVAL-VALUED FUZZY MINIMAL PREOPEN MAPPINGS

  • Min, Won Keun;Kim, Myeong Hwan
    • Korean Journal of Mathematics
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    • 제17권3호
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    • pp.249-255
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    • 2009
  • In [5], we introduced the concepts of IVF m-preopen sets and IVF m-precontinuous mappings on interval-valued fuzzy minimal spaces. In this paper, we introduce the concept of IVF m-preopen mapping and investigate characterizations for IVF mprecontinuous mappings and IVF m-preopen mappings.

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퍼지 (r,s)-pre-semicontinuous 함수 (Fuzzy (r,s)-pre-semicontinuous mappings)

  • 이석종;김진태;엄연석
    • 한국지능시스템학회:학술대회논문집
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    • 한국지능시스템학회 2007년도 추계학술대회 학술발표 논문집
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    • pp.191-194
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    • 2007
  • In this paper, we introduce the concepts of fuzzy (r,s)-pre-semiopen sets and fuzzy (r,s)-pre-semicontinuous mappings on intuitionistic fuzzy topological spaces in ${\v{S}}ostak's$ sense. The concepts of fuzzy (r,s)-pre-semiinterior, fuzzy (r,s)-pre-semiclosure, fuzzy (r,s)-pre-semineighborhood, and fuzzy (r,s)-quasi-pre-semineighborhood are given, and several properties of these concepts are discussed. Using these concepts, the characterizations for the fuzzy (r,s)-pre-semicontinuous mappings are obtained. Also, we introduce the notions of fuzzy (r,s)-presemiopen and fuzzy (r,s)-pre-semiclosed mappings on intuitionistic fuzzy topologica spaces in ${\v{S}}ostak's$ sense, and then we investigate some of their characteristic properties.

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INTUITIONISTIC FUZZY SEMI-PREOPEN SETS AND INTUITIONISTIC FUZZY SEMI-PRECONTINUOUS MAPPINGS

  • JUN YOUNG BAE;SONG SEOK-ZUN
    • Journal of applied mathematics & informatics
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    • 제19권1_2호
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    • pp.467-474
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    • 2005
  • Using the notion of intuitionistic fuzzy sets, the concept of intuitionis tic fuzzy semi-preopen sets and intuitionistic fuzzy semi-pre-continuous mappings are introduced. The relation between an intuitionistic fuzzy precontinuous ma pping and an intuitionistic semi-precontinuous mapping is given. Characterizations of intuitionistic fuzzy semi-preopen sets and intuitionist ic fuzzy semi-precontinuous mappings are given.

FUZZY GENERAL NONLINEAR ORDERED RANDOM VARIATIONAL INEQUALITIES IN ORDERED BANACH SPACES

  • Salahuddin, Salahuddin;Lee, Byung-Soo
    • East Asian mathematical journal
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    • 제32권5호
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    • pp.685-700
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    • 2016
  • The main object of this work to introduced and studied a new class of fuzzy general nonlinear ordered random variational inequalities in ordered Banach spaces. By using the random B-restricted accretive mapping with measurable mappings ${\alpha},{\alpha}^{\prime}:{\Omega}{\rightarrow}(0,1)$, an existence of random solutions for this class of fuzzy general nonlinear ordered random variational inequality (equation) with fuzzy mappings is established, a random approximation algorithm is suggested for fuzzy mappings, and the relation between the first value $x_0(t)$ and the random solutions of fuzzy general nonlinear ordered random variational inequality is discussed.