• 제목/요약/키워드: fuzzy mappings

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Fuzzy Almost Continuous Mappings and Fuzzy Almost Quasi-Compact Mappings

  • Park, Kuo-Duok;Im, Young-Bin;Soung, Goang-Ou
    • 한국지능시스템학회논문지
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    • 제5권1호
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    • pp.3-14
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    • 1995
  • In this paper we introduce the class of fuzzy almost contrinuous mappings. It contains the class of fuzzy continuous mappings and is contained in the class of fuzzy weakly continuous mappings. In section 3 we discuss various properties of such mappings. In section 4 we also introduce the notion of fuzzy almost quasi-compact mappings and give relations between fuzzy almost quasi-compact mappings and the mapping which are introduced in section 2 and 3.

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A Note on Fuzzy S-mappings

  • 민원근
    • 한국지능시스템학회논문지
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    • 제8권6호
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    • pp.48-52
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    • 1998
  • We introduce the concepts of fuzzy s-continuous mappings, s-open mappings, and s-closed mappings. We investigate several properties of such mappings. In particular, we study the relation between fuzzy s-continuous mappings and fuzzy s-open mappings(s-closed mappings).

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퍼지연속함수와 퍼지 집합값 함수 (Fuzzy Continuous Mappings and Fuzzy Set-Valued Mappings)

  • J.H. Ryou;K. Hur
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2001년도 추계학술대회 학술발표 논문집
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    • pp.319-323
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    • 2001
  • First, we study some properties of F-continuities. Second, we introduce the concept of fuzzy set-valued mappings and study some properties of fuzzy set-valued mappings and fuzzy set-valued continuous mappings. Finally, we Introduce the concept of fuzzy semi-continuous of fuzzy set-valued mappings and investigate their some properties.

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ON THE DEBREU INTEGRAL OF FUZZY MAPPINGS IN BANACH SPACES

  • Park, Chun-Kee
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제16권3호
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    • pp.315-326
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    • 2009
  • In this paper, we introduce Debreu integral of fuzzy mappings in Banach spaces in terms of the Debreu integral of set-valued mappings, investigate properties of Debreu integral of fuzzy mappings in Banach spaces and obtain the convergence theorem for Debreu integral of fuzzy mappings in Banach spaces.

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On fuzzy pairwise $\beta$-continuous mappings

  • Im, Young-Bin;Park, Kuo-Duok
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1995년도 추계학술대회 학술발표 논문집
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    • pp.378-383
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    • 1995
  • Kandil[5] introduced and studied the notion of fuzzy bitopological spaces as a natural generalization of fuzzy topological In [10], Sampath Kumar introduced and studied the concepts of ( i, j)-fuzzy semiopen sets, fuzzy pairwise semicontinuous mappings in the fuzzy bitopological spaces. Also, he defined the concepts of ( i, j)-fuzzy -open sets, ( i, j)-fuzzy preopen sets, fuzzy pairwise -continuous mappings and fuzzy pairwise precontinuous mappings in the fuzzy bitopological spaces and studied some of their basic properties. In this paper, we generalize the concepts of fuzzy -open sets, fuzzy -continous mappings ? 새 Mashhour, Ghanim and Fata Alla[6] into fuzzy bitopological spaces, We first define the concepts of ( i, j)-fuzzy -open sets and then consider the generalizations of fuzzy pairwise -continuous mappings is obtained Besides many basic results, results related to products and graph of mapping are obtained in the fuzzy bitopological spaces.

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ON THE PETTIS INTEGRAL OF FUZZY MAPPINGS IN BANACH SPACES

  • Park, Chun-Kee
    • 대한수학회논문집
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    • 제22권4호
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    • pp.535-545
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    • 2007
  • In this paper, we introduce the Pettis integral of fuzzy mappings in Banach spaces using the Pettis integral of closed set-valued mappings. We investigate the relations between the Pettis integral, weak integral and integral of fuzzy mappings in Banach spaces and obtain some properties of the Pettis integral of fuzzy mappings in Banach spaces.

INTERVAL-VALUED FUZZY SEMI-PREOPEN SETS AND INTERVAL-VALUED FUZZY SEMI-PRECONTINUOUS MAPPINGS

  • Jun, Young-Bae;Kim, Sung-Sook;Kim, Chang-Su
    • 호남수학학술지
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    • 제29권2호
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    • pp.223-244
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    • 2007
  • We introduce the notions of interval-valued fuzzy semipreopen sets (mappings), interval-valued fuzzy semi-pre interior and interval-valued fuzzy semi-pre-continuous mappings by using the notion of interval-valued fuzzy sets. We also investigate related properties and characterize interval-valued fuzzy semi-preopen sets (mappings) and interval-valued fuzzy semi-precontinuous mappings.

A NOTE ON ALMOST PERIODIC FUZZY MAPPINGS

  • Jeong, Jae-Ug
    • Journal of applied mathematics & informatics
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    • 제10권1_2호
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    • pp.277-282
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    • 2002
  • In this paper we shall discuss the relationship between almost periodic fuzzy mappings and the properties of convergence theorems, and some results of almost periodic fuzzy mappings.