• 제목/요약/키워드: Zadeh's Extension

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ON THE CONTINUITY OF THE ZADEH EXTENSIONS

  • Goo, Yoon Hoe;Park, Jong Suh
    • 충청수학회지
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    • 제20권4호
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    • pp.525-533
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    • 2007
  • In this paper, we prove the continuity of the Zadeh extensions for continuous surjections and for semiflows.

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THE ONE-SIDED QUADRANGULAR FUZZY SETS

  • Yun, Yong Sik;Lee, Bongju
    • 충청수학회지
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    • 제26권2호
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    • pp.297-308
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    • 2013
  • We define one-sided quadrangular fuzzy sets, a left quadrangular fuzzy set and a right quadrangular fuzzy set. And then we generalize the results of addition, subtraction, multiplication, and division based on the Zadeh's extension principle for two one-sided quadrangular fuzzy sets. In addtion, we find the condition that the result of addition or subtraction for two one-sided quadrangular fuzzy sets becomes a triangular fuzzy number.

THE PENTAGONAL FUZZY NUMBERS

  • Lee, Bongju;Yun, Yong Sik
    • 충청수학회지
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    • 제27권2호
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    • pp.277-286
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    • 2014
  • We define the pentagonal fuzzy sets and generalize the results of addition, subtraction, multiplication, and division based on the Zadeh's extension principle for two pentagonal fuzzy sets. In addtion, we find the condition that the result of addition or subtraction for two pentagonal fuzzy sets becomes a triangular fuzzy number and give some example.

THE GENERALIZED TRAPEZOIDAL FUZZY SETS

  • Lee, BongJu;Yun, Yong Sik
    • 충청수학회지
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    • 제24권2호
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    • pp.253-266
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    • 2011
  • We would like to generalize about trapezoidal fuzzy set and to calculate four operations based on the Zadeh's extension principle for two generalized trapezoidal fuzzy sets. And we roll up triangular fuzzy numbers and generalized triangular fuzzy sets into it. Since triangular fuzzy numbers and generalized triangular fuzzy sets are generalized trapezoidal fuzzy sets, we need no more the separate painstaking calculations of addition, subtraction, multiplication and division for two such kinds once the operations are done for generalized trapezoidal fuzzy sets.

Fuzzy Maps

  • 정세화
    • 한국지능시스템학회논문지
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    • 제8권4호
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    • pp.69-72
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    • 1998
  • We introduce a concept of a 'fuzzy' map between sets by modifying the concetp of the extension principle introduced by Dubois and Prade in [1] and by using this we generalize Goguen's and Zadeh's extension principles in [2] and [3].

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Fuzzy maps

  • Chung, S. H.
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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    • pp.376-379
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    • 1998
  • We introduce the concept of a 'fuzzy' map between sets by modifying the concept of the extension principle introduced by Dubois and Prade in [1] and study their properties. Using these we generalize Goguen's and Zadeh's extension principles in [2] and [3].

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PARAMETRIC OPERATIONS FOR TWO FUZZY NUMBERS

  • Byun, Jisoo;Yun, Yong Sik
    • 대한수학회논문집
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    • 제28권3호
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    • pp.635-642
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    • 2013
  • There are many results on the extended operations of two fuzzy numbers based on the Zadeh's extension principle. For the calculation, we have to use existing operations between two ${\alpha}$-cuts. In this paper, we define parametric operations between two ${\alpha}$-cuts which are different from the existing operations. But we have the same results as the extended operations of Zadeh's principle.

2-차원 삼각퍼지수에 대한 Zadeh의 확장원리 (Zadeh's extension principle for 2-dimensional triangular fuzzy numbers)

  • 김창일;윤용식
    • 한국지능시스템학회논문지
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    • 제25권2호
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    • pp.197-202
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    • 2015
  • 삼각퍼지수는 가장 유명한 퍼지수 중의 하나이다. 두 삼각퍼지수 사이의 확장된 대수적 작용소에 대한 많은 결과들이 알려져 있다. 우리는 $\mathbb{R}$ 위에 정의된 삼각퍼지수를 $\mathbb{R}^2$ 위로 일반화하였다. 영역을 값으로 갖는 두 ${\alpha}$-절단 사이에 매개변수 작용소를 정의함으로서 $\mathbb{R}^2$ 위에서 정의된 두 삼각퍼지수에 대한 매개변수 작용소를 얻을 수 있었다.

THE GENERALIZED TRIANGULAR FUZZY SETS

  • Yun, Yong Sik;Ryu, Sang Uk;Park, Jin Won
    • 충청수학회지
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    • 제22권2호
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    • pp.161-170
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    • 2009
  • For various fuzzy numbers, many operations have been calculated. We generalize about triangular fuzzy number and calculate four operations based on the Zadeh's extension principle, addition A(+)B, subtraction A(-)B, multiplication A(${\cdot}$)B and division A(/)B for two generalized triangular fuzzy sets.

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