• 제목/요약/키워드: Fuzzy Numbers

검색결과 320건 처리시간 0.023초

Analysis of Economic Lifespan for Replacement Policy of Container Ship using Fuzzy Interval Numbers

  • Jang, Woon-Jae
    • 한국항해항만학회지
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    • 제35권2호
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    • pp.173-178
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    • 2011
  • This study determined the ship replacement life expectancy from an economic perspective. There are many ambiguities in the cost for calculation of economic lifespan, and these were expressed as fuzzy numbers. Also, a fuzzy cost model using fuzzy numbers was developed and suggested as a more practical analysis method than the existing cost model. And the suggested fuzzy model was used to determine the economic lifespan for various types of container ships. As the result, Without fuzziness, the economic lifespan of 5000 TEU Ships was found to be 19 years. it was found that the greater the container ship, the greater the economic lifespan was.

STRONG LAWS OF LARGE NUMBERS FOR RANDOM UPPER-SEMICONTINUOUS FUZZY SETS

  • Kim, Yun-Kyong
    • 대한수학회보
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    • 제39권3호
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    • pp.511-526
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    • 2002
  • In this paper, we concern with SLLN for sums Of in-dependent random upper-semicontinuous fuzzy sets. We first give a generalization of SLLN for sums of independent and level-wise identically distributed random fuzzy sets, and establish a SLLN for sums of random fuzzy sets which is independent and compactly uniformly integrable in the strong sense. As a result, a SLLN for sums of independent and strongly tight random fuzzy sets is obtained.

A NEW METHOD FOR SOLVING FUZZY SHORTEST PATH PROBLEMS

  • Kumar, Amit;Kaur, Manjot
    • Journal of applied mathematics & informatics
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    • 제30권3_4호
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    • pp.571-591
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    • 2012
  • To the best of our knowledge, there is no method, in the literature, to find the fuzzy optimal solution of fully fuzzy shortest path (FFSP) problems i.e., shortest path (SP) problems in which all the parameters are represented by fuzzy numbers. In this paper, a new method is proposed to find the fuzzy optimal solution of FFSP problems. Kumar and Kaur [Methods for solving unbalanced fuzzy transportation problems, Operational Research-An International Journal, 2010 (DOI 10.1007/s 12351-010-0101-3)] proposed a new method with new representation, named as JMD representation, of trapezoidal fuzzy numbers for solving fully fuzzy transportation problems and shown that it is better to solve fully fuzzy transportation problems by using proposed method with JMD representation as compare to proposed method with the existing representation. On the same direction in this paper a new method is proposed to find the solution of FFSP problems and it is shown that it is also better to solve FFSP problems with JMD representation as compare to existing representation. To show the advantages of proposed method with this representation over proposed method with other existing representations. A FFSP problem solved by using proposed method with JMD representation as well as proposed method with other existing representations and the obtained results are compared.

쇼케이적분을 이용한 구간치 퍼지수 상의 거리측도에 관한 성질 (Some algebraic properties and a distance measure for interval-valued fuzzy numbers)

  • 장이채;김원주
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2005년도 추계학술대회 학술발표 논문집 제15권 제2호
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    • pp.121-124
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    • 2005
  • 퍼지측도와 관련된 폐집합치 쇼케이적분에 대해 장에 의해 연구되어 왔음을 알 수 있다. 본 논문에서는 컴팩트 집합치 함수의 쇼케이적분을 생각하고 이와 관련된 성질들을 조사한다. 특히, 구간치 함수 대신에 컴팩트 집합치 함수를 이용하여 컴팩트 집합치 쇼케이적분의 특성들을 조사한다.

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AN ALGEBRAIC OPERATIONS FOR TWO GENERALIZED 2-DIMENSIONAL QUADRATIC FUZZY SETS

  • Yun, Yong Sik
    • 충청수학회지
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    • 제31권4호
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    • pp.379-386
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    • 2018
  • We generalized the quadratic fuzzy numbers on ${\mathbb{R}}$ to ${\mathbb{R}}_2$. By defining parametric operations between two regions valued ${\alpha}-cuts$, we got the parametric operations for two triangular fuzzy numbers defined on ${\mathbb{R}}_2$. The results for the parametric operations are the generalization of Zadeh's extended algebraic operations. We generalize the 2-dimensional quadratic fuzzy numbers on ${\mathbb{R}}_2$ that may have maximum value h < 1. We calculate the algebraic operations for two generalized 2-dimensional quadratic fuzzy sets.

L-R형 퍼지수의 집합-이론적 연산자들에 관한 연구 (On the set-theoretic operations of L-R type fuzzy numbers)

  • 장이채
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2000년도 추계학술대회 학술발표 논문집
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    • pp.53-56
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    • 2000
  • In this paper, we define a concept of some set-theoretical operations of L-R type fuzzy numbers and discuss some properties of these concepts. Using these results, we discuss a concept of cardinality of type-two fuzzy sets.

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Some Properties of Operations on Fuzzy Numbers

  • 홍덕헌
    • Journal of the Korean Data and Information Science Society
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    • 제13권2호
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    • pp.209-216
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    • 2002
  • In this paper, we introduce a concept of (H)-property which generalize that of increasing(decreasing) property of binary operation. We also treat some works related to operations on fuzzy numbers and generalize earlier results of Kawaguchi and Da-te(1994).

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Weighted average of fuzzy numbers

  • 김국
    • 한국경영과학회:학술대회논문집
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    • 대한산업공학회/한국경영과학회 1996년도 춘계공동학술대회논문집; 공군사관학교, 청주; 26-27 Apr. 1996
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    • pp.76-78
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    • 1996
  • When data is classified and each class has weight, the mean of data is a weighted average. When the class values and weights are trapezoidal fuzzy numbers, we can prove the weghted average is a fuzzy number though not trapezoidal. Its 4 corner points are obtained.

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ON STATISTICAL AND p-CESARO CONVERGENCE OF FUZZY NUMBERS

  • Kwon, Joong-Sung
    • Journal of applied mathematics & informatics
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    • 제7권1호
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    • pp.195-203
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    • 2000
  • In this paper, the concept of strongly p-Cesaro summability of sequences of fuzzy numbers is introduced. The relationship between statistical convergence and strongly p-Cesaro summability is discussed.