• Title/Summary/Keyword: fuzzy mathematics

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INTUITIONISTIC FUZZY IDEALS AND BI-IDEALS

  • HUR, KUL;KIM, KWANG JIN;SONG, HYEONG KEE
    • Honam Mathematical Journal
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    • v.26 no.3
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    • pp.309-330
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    • 2004
  • In this paper, we apply the concept of intuitionistic fuzzy sets to theory of semigroups. We give some properties of intuitionistic fuzzy ideals and intuitionistic fuzzy bi-ideals, and characterize which is left [right] simple, left [right] duo and a semilattice of left [right] simple semigroups or another type of semigroups in terms of intuitionistic fuzzy ideals and intuitionistic fuzzy bi-ideals.

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G-FUZZY CONGRUENCES GENERATED BY COMPATIBLE FUZZY RELATIONS

  • Chon, Inheung
    • Korean Journal of Mathematics
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    • v.14 no.2
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    • pp.241-248
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    • 2006
  • We define a G-fuzzy congruence, which is a generalized fuzzy congruence, and characterize the G-fuzzy congruence generated by a left and right compatible fuzzy relation on a semigroup.

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FUZZY CONVERGENCE THEORY - II

  • MONDAL K. K.;SAMANTA S. K.
    • The Pure and Applied Mathematics
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    • v.12 no.2 s.28
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    • pp.105-124
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    • 2005
  • In this paper convergence of fuzzy filters and graded fuzzy filters have been studied in graded L-fuzzy topological spaces.

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Fuzzy performance assessment methods and mathematical educations (퍼지수행평가방법과 수학교육)

  • 장이채
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.12a
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    • pp.307-313
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    • 2001
  • In this paper, we consider performance assessment methods of mathematics and investigate some difficulties which teachers have been grading of performance assessment of mathematics. And also, using fuzzy theory, we define fuzzy grade sheets for performance assessment of mathematics and discuss some usefulness and simple examples of this new definition.

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T-FUZZY INTEGRALS OF SET-VALUED MAPPINGS

  • CHO, SUNG JIN
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.4 no.1
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    • pp.39-48
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    • 2000
  • In this paper we define T-fuzzy integrals of set-valued mappings, which are extensions of fuzzy integrals of the single-valued functions defined by Sugeno. And we discuss their properties.

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ON THE STATISTICALLY COMPLETE FUZZY NORMED LINEAR SPACE.

  • Rhie, Gil Seob;Hwang, In Ah;Kim, Jeong Hee
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.597-606
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    • 2009
  • In this paper, we introduce the notion of the statistically complete fuzzy norm on a linear space. And we consider some relations between the fuzzy statistical completeness and ordinary completeness on a linear space.

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FUZZY SET CONNECTED FUNCTIONS

  • Chae, G.I.;Thakur, S.S.;Malviya, R.
    • East Asian mathematical journal
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    • v.23 no.1
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    • pp.103-110
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    • 2007
  • The purpose of this paper is to introduce the concept of fuzzy set connected functions and investigate their properties.

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FUZZY MULTIPLICATION RINGS

  • Lee, Dong-Soo;Park, Chul-Hwan;Kim, Jong-Heon
    • East Asian mathematical journal
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    • v.21 no.2
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    • pp.183-190
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    • 2005
  • We will introduce the notion of fuzzy multiplication ring using fuzzy ideal. In this paper we will show that a fuzzy ideal I is primary if radI is prime. And we will investigate some properties related the theorem.

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