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      Shape preserving additions of LR-fuzzy intervals with unbounded support

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      https://www.riss.kr/link?id=A103846820

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      다국어 초록 (Multilingual Abstract)

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      한국어
      Continuous t−norm based shape preserving additions of LR−
      fuzzy intervals with unbounded support is studied. The case for bounded
      support, which was a conjecture suggested by Mesiar in 1997, was proved
      by the author in 2002 and 2008. In this paper, we give a necessary and
      sufficient conditions for a continuous t−norm T that induces LR−shape
      preserving addition of LR−fuzzy intervals with unbounded support. Some
      of the results can be deduced from the results given in the paper of Mesiar
      in 1997. But, we give direct proofs of the results.
      번역하기

      Continuous t−norm based shape preserving additions of LR− fuzzy intervals with unbounded support is studied. The case for bounded support, which was a conjecture suggested by Mesiar in 1997, was proved by the author in 2002 and 2008. In this pa...

      Continuous t−norm based shape preserving additions of LR−
      fuzzy intervals with unbounded support is studied. The case for bounded
      support, which was a conjecture suggested by Mesiar in 1997, was proved
      by the author in 2002 and 2008. In this paper, we give a necessary and
      sufficient conditions for a continuous t−norm T that induces LR−shape
      preserving addition of LR−fuzzy intervals with unbounded support. Some
      of the results can be deduced from the results given in the paper of Mesiar
      in 1997. But, we give direct proofs of the results.

      더보기

      다국어 초록 (Multilingual Abstract)

      영어
      한국어
      Continuous t−norm based shape preserving additions of LR−
      fuzzy intervals with unbounded support is studied. The case for bounded
      support, which was a conjecture suggested by Mesiar in 1997, was proved
      by the author in 2002 and 2008. In this paper, we give a necessary and
      sufficient conditions for a continuous t−norm T that induces LR−shape
      preserving addition of LR−fuzzy intervals with unbounded support. Some
      of the results can be deduced from the results given in the paper of Mesiar
      in 1997. But, we give direct proofs of the results.
      번역하기

      Continuous t−norm based shape preserving additions of LR− fuzzy intervals with unbounded support is studied. The case for bounded support, which was a conjecture suggested by Mesiar in 1997, was proved by the author in 2002 and 2008. In this paper...

      Continuous t−norm based shape preserving additions of LR−
      fuzzy intervals with unbounded support is studied. The case for bounded
      support, which was a conjecture suggested by Mesiar in 1997, was proved
      by the author in 2002 and 2008. In this paper, we give a necessary and
      sufficient conditions for a continuous t−norm T that induces LR−shape
      preserving addition of LR−fuzzy intervals with unbounded support. Some
      of the results can be deduced from the results given in the paper of Mesiar
      in 1997. But, we give direct proofs of the results.

      더보기

      참고문헌 (Reference)

      1 R. Full´er, "t-Norm-based addition of fuzzy intervals" 51 : 155-159, 1992

      2 A. Koles´arov´a, "Triangular norm-based addition preserving linearity of t-sums of fuzzy intervals" 5 : 97-98, 1998

      3 A. Koles´arov´a, "Triangular norm-based addition of linear fuzzy numbers" 6 : 75-82, 1995

      4 R. Mesiar, "Triangular norm-based addition of fuzzy intervals" 91 : 231-238, 1997

      5 D. H. Hong, "The convergence of T-product of fuzzy numbers" 85 : 373-378, 1997

      6 L. A. Zadeh, "The concept of a linguistic variable and its applications to approximate reasoning" 8 : 199-251, 1975

      7 D. H. Hong, "T-sum of bell-shaped fuzzy intervals" 158 : 739-746, 2007

      8 A. Markov´a, "T-sum of L-R-fuzzy numbers, Fuzzy Sets and Systems 85(1996) 379-384.25. A. Markov´a, A note to the addition of fuzzy numbers based on a continuous Archimedean T-norm" 91 : 253-258, 1997

      9 D. H. Hong, "Some results on the addition of fuzzy intervals" 122 : 349-352, 2001

      10 D. H. Hong, "Shape preserving multiplications of fuzzy intervals" 123 : 93-96, 2001

      1 R. Full´er, "t-Norm-based addition of fuzzy intervals" 51 : 155-159, 1992

      2 A. Koles´arov´a, "Triangular norm-based addition preserving linearity of t-sums of fuzzy intervals" 5 : 97-98, 1998

      3 A. Koles´arov´a, "Triangular norm-based addition of linear fuzzy numbers" 6 : 75-82, 1995

      4 R. Mesiar, "Triangular norm-based addition of fuzzy intervals" 91 : 231-238, 1997

      5 D. H. Hong, "The convergence of T-product of fuzzy numbers" 85 : 373-378, 1997

      6 L. A. Zadeh, "The concept of a linguistic variable and its applications to approximate reasoning" 8 : 199-251, 1975

      7 D. H. Hong, "T-sum of bell-shaped fuzzy intervals" 158 : 739-746, 2007

      8 A. Markov´a, "T-sum of L-R-fuzzy numbers, Fuzzy Sets and Systems 85(1996) 379-384.25. A. Markov´a, A note to the addition of fuzzy numbers based on a continuous Archimedean T-norm" 91 : 253-258, 1997

      9 D. H. Hong, "Some results on the addition of fuzzy intervals" 122 : 349-352, 2001

      10 D. H. Hong, "Shape preserving multiplications of fuzzy intervals" 123 : 93-96, 2001

      11 R. Mesiar, "Shape preserving additions of fuzzy intervals" 86 : 73-78, 1997

      12 M. M. Gupta, "On the principle of fuzzy neural networks" 61 : 1-18, 1994

      13 D. H. Hong, "On the compositional rule of inference under triangular norms" 66 : 25-38, 1994

      14 D. H. Hong, "On shape-preserving additions of fuzzy intervals" 267 : 369-376, 2002

      15 R. Full´er, "On computation of the compositional rule of inference under triangular norms" 51 : 267-275, 1992

      16 R. R. Yager, "On a general class of fuzzy connectives" 4 : 235-242, 1980

      17 J. Aczel, "Lectures on Functional Equations and their Applications" Academic Press 1969

      18 J. Zuruda, "Introduction to Artificial Neural Systems" West Publishing Company 1992

      19 J. J. Buckley, "Fuzzy neural networks: a survey" 66 : 1-13, 1994

      20 D. Dubois, "Fuzzy Sets and Systems: Theory and Applications" Academic Press 1980

      21 C. Carlsson, "Fuzzy Reasoning in Decision Making and Optimization" Physica-Verlag 2002

      22 A. W. Robert, "Convex Functions" Academic Press 1980

      23 J. Dombi, "Additions of sigmoid-shaped fuzzy intervals using the Dombioperator and infinite sum theorems" Fuzzy Sets and Systems In press

      24 D. Dubois, "Additions of interactive fuzzy numbers" 26 : 926-936, 1981

      25 D. H. Hong, "A note to the sum of fuzzy variables" 93 : 121-124, 1998

      26 R. Mesiar, "A note on the T-sum of LR fuzzy numbers" 79 : 259-261, 1996

      27 D. H. Hong, "A note on t-norm-based addition of fuzzy intervals" 75 : 73-76, 1995

      28 J. J. Lee, "A learning algorithm of fuzzy neural networks using a shape preserving operation" 3 : 131-138, 1998

      29 D. H. Hong, "A convexity problem and a new proof for linearity preserving additions of fuzzy intervals, Fuzzy Sets and Systems" 159 : 3388-3392, 2008

      30 E. P. Klement, "A characterization of the ordering of continuous t-norms" 86 : 189-195, 1997

      31 D. H. Hong, "A T-sum bound of LR-fuzzy numbers" 91 : 239-252, 1997

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      학술지 인용정보
      기준연도 WOS-KCI 통합IF(2년) KCIF(2년) KCIF(3년)
      2016 0.16 0.16 0.13
      KCIF(4년) KCIF(5년) 중심성지수(3년) 즉시성지수
      0.1 0.07 0.312 0.02
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