• Title/Summary/Keyword: fuzzy mathematics

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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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    • v.41 no.3
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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.

FUZZY MEAN OPEN AND FUZZY MEAN CLOSED SETS

  • SWAMINATHAN, A.
    • Journal of applied mathematics & informatics
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    • v.38 no.5_6
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    • pp.463-468
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    • 2020
  • The purpose of this article is to study the concepts of fuzzy mean open and fuzzy mean closed sets in fuzzy topological spaces. Further, in what way they are similar to those of other. Also we discuss some properties of fuzzy mean open and fuzzy mean closed with fuzzy paraopen and fuzzy paraclosed sets in fuzzy topology.

FUZZY IDEALS OF PSEUDO BCI-ALGEBRAS

  • Lee, Kyoung-Ja
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.795-807
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    • 2009
  • The concepts of fuzzy pseudo ideals (resp. fuzzy pseudo p-ideals, associative fuzzy pseudo ideals, fuzzy pseudo q-ideals and fuzzy pseudo a-ideals) in a pseudo BCI-algebra are introduced, and related properties are investigated. Conditions for a fuzzy pseudo ideal to be a fuzzy pseudo p-ideal (resp. fuzzy pseudo q-ideal) are provided. A characterization and properties of an associative fuzzy pseudo ideal are given.

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FUZZY QUASICOMPONENTS

  • Kong, Jae Eung;Cho, Sung Ki
    • Korean Journal of Mathematics
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    • v.4 no.1
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    • pp.31-37
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    • 1996
  • We define fuzzy quasicomponents and prove some properties related to fuzzy components.

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[ ${\Omega}-FUZZY$ ] IDEALS IN NEAR-RINGS

  • Cho, Yong-Uk;Jun, Young-Bae
    • Journal of applied mathematics & informatics
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    • v.25 no.1_2
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    • pp.483-488
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    • 2007
  • Given a set ${\Omega}$, the notion of ${\Omega}-fuzzy$ ideals in a near-ring is introduced, and related properties are investigated. Using fuzzy ideals, ${\Omega}-fuzzy$ ideals are described. Conversely, fuzzy ideals are constructed by using ${\Omega}-fuzzy$ ideals.

CLOSURE FILTERS AND PRIME FUZZY CLOSURE FILTERS OF MS-ALGEBRAS

  • Noorbhasha, Rafi;Bandaru, Ravikumar;Shum, Kar Ping
    • Korean Journal of Mathematics
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    • v.28 no.3
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    • pp.509-524
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    • 2020
  • The notion of fuzzy closure filters is introduced and discussed in an MS-algebra. In particular, we characterize the prime fuzzy closure filters in terms of boosters. Some relationship between the lattice of fuzzy closure filters and the fuzzy ideal lattice of boosters are explored and investigated.

FUZZY r-SEMICONTINUOUS, r-SEMIOPEN AND r-SEMICLOSED MAPS

  • Lee, Seok Jong;Lee, Seung On;Lee, Eun Pyo
    • Korean Journal of Mathematics
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    • v.6 no.1
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    • pp.117-125
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    • 1998
  • In this paper, we investigate some conditions which are equivalent to fuzzy $r$-homeomorphisms and give some characterizing theorems for fuzzy $r$-semicontinuous, $r$-semiopen and $r$-semiclosed maps.

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