• Title/Summary/Keyword: fuzzy weak continuity

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DECOMPOSITION OF CONTINUITY AND COMPLETE CONTINUITY IN SMOOTH FUZZY TOPOLOGICAL SPACES

  • Amudhambigai, B.;Uma, M.K.;Roja, E.
    • East Asian mathematical journal
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    • v.27 no.3
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    • pp.261-271
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    • 2011
  • In this paper, fuzzy ${\alpha}^*$-set, fuzzy C-set, fuzzy AB-set, fuzzy t-set, fuzzy B-set, etc., are introduced in the sense of Sostak [12] and Ramadan [9]. By using these sets, a decomposition of fuzzy continuity and complete fuzzy continuity are provided. Characterization of smooth fuzzy extremally disconnected spaces is also obtained in this connection.

A Note on a-Fuzzy Closed And a-Fuzzy Continuous Mappings

  • Moon, J. R.;Ahn, Y. S.;Hur, K.
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1995.10b
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    • pp.374-377
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    • 1995
  • We introduce new weak forms of fuzzy continuity and fuzzy closed mapping(which we call a-fuzzy continuity and a-fuzzy closed mapping). And we investigate some of the basic properties of a-fuzzy continuous mapping and a-fuzzy closed mappings.

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COMMON FIXED POINTS WITHOUT CONTINUITY IN FUZZY METRIC SPACES

  • SHARMA SUSHIL;DESHPANDE BHAVANA
    • The Pure and Applied Mathematics
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    • v.12 no.4 s.30
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    • pp.289-306
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    • 2005
  • The aim of this paper is to prove some common fixed point theorems for six discontinuous mappings in non complete fussy metric spaces with condition of weak compatibility.

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Ordinary Smooth Topological Spaces

  • Lim, Pyung-Ki;Ryoo, Byeong-Guk;Hur, Kul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.12 no.1
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    • pp.66-76
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    • 2012
  • In this paper, we introduce the concept of ordinary smooth topology on a set X by considering the gradation of openness of ordinary subsets of X. And we obtain the result [Corollary 2.13] : An ordinary smooth topology is fully determined its decomposition in classical topologies. Also we introduce the notion of ordinary smooth [resp. strong and weak] continuity and study some its properties. Also we introduce the concepts of a base and a subbase in an ordinary smooth topological space and study their properties. Finally, we investigate some properties of an ordinary smooth subspace.

The Concept of Fuzzy Probability

  • Sook Lim;Um, Jung-Koog
    • Journal of the Korean Statistical Society
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    • v.21 no.2
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    • pp.111-125
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    • 1992
  • Since Zadeh's definition for probability of fuzzy event is presented, alternative definitions for probability of fuzzy event is suggested. Also various properties of these new definitions have been presented. In this paper it is our purpose to show the works continued by finding a natural definition of a fuzzy probability measure on an arbitrary fuzzy measurable space. Thus, the main process is to observe fuzzy probability measure to be qualified by weak axioms of boundary condition, monotonicity and continuity suggested by Klir (1988). Especially, we will show that these axioms are satisfied through in succession of modifications from the Yager's method.

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