• 제목/요약/키워드: Fuzzy Relation

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Hierarchical Fuzzy Process법 및 퍼지관계방정식을 이용한 철도물류서비스의 경쟁우위 전략에 관한 연구 (A Study on Competition Strategy of Korail's Logistics Services Using Hierarchical Fuzzy Process and Fuzzy Relation Equation)

  • 유승열;이재원;권용장
    • 한국철도학회논문집
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    • 제9권4호
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    • pp.432-440
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    • 2006
  • Prior to the service evaluation, many kinds of its attributes must be identified on the basis of rational decision owing to complexity and ambiguity inherent in logistics service. there are so many evaluation methods but they are not applicable to logistics service the have property of non-additivity and overlapped attributes. Therefore, probability measure can not used to evaluate logistics service but Fuzzy Measure is required. And the method should be easy to calculate it Recently Fuzzy theory has been applied in Various evaluation problem. Fuzzy evaluation based on Fuzzy theory can accommodate fuzziness in judgement with people through introducing Fuzzy Measure. In this paper, Hierarchical Fuzzy Process is applied to evaluate level of logistics service in Korail and the biggest six logistics companies in the korea which is called 3PL Company. Also Fuzzy Relation Equation which is problem identifying evaluation value at these fuzzy evaluation is applied to verify relation between Input and Output data through @-operation. Therefore, we apply this Fuzzy Relation Equation to Hierarchical Fuzzy Process and verify evaluation value which objects of evaluation are able to possess.

퍼지관계에 기반한 한국 음식과 맛 평가 형용사 분석 (Fuzzy Relation-Based Analysis of Korean Foods and Adjectives for Taste Evaluation)

  • 이준환;박근호;노정옥
    • 한국지능시스템학회논문지
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    • 제23권5호
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    • pp.451-459
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    • 2013
  • 본 논문에서는 퍼지 관계를 이용하여 한국 음식과 해당 음식의 맛을 표현하는 관능 형용사를 분석하였다. 이를 위하여 음식의 맛뿐만 아니라 냄새 등도 표현할 수 있는 87개의 한국어 형용사를 선별하고, 20명의 실험자를 대상으로 51개의 한국음식들을 시식하게 하고 해당 음식 맛 표현에 적합한 형용사를 선택하게 하는 관능 평가를 실시하였다. 이렇게 얻어진 결과로 부터 퍼지 관계를 구성하고 음식과 형용사의 특성을 분석하였다. 또한 퍼지관계 합성을 통하여 음식과 음식 사이의, 또는 형용사와 형용사 사이의 퍼지허용(호환)관계를 구성하였으며, 이들 관계의 퍼지 완전 ${\alpha}$-커버(fuzzy complete ${\alpha}$-cover)로 부터 음식과 형용사의 분류체계를 탐색할 수 있었다. 본 논문의 퍼지 관계를 이용한 방법은 비단 음식과 맛 표현 뿐만 아니라 후각과 촉각과 같은 관능 형용사를 분석하는데 활용될 것을 기대된다.

다중 출력을 가지는 퍼지 관계 기반 퍼지뉴럴네트워크 설계 및 최적화 (Design of Fuzzy Relation-based Fuzzy Neural Networks with Multi-Output and Its Optimization)

  • 박건준;김현기;오성권
    • 전기학회논문지
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    • 제58권4호
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    • pp.832-839
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    • 2009
  • In this paper, we introduce an design of fuzzy relation-based fuzzy neural networks with multi-output. Fuzzy relation-based fuzzy neural networks comprise the network structure generated by dividing the entire input space. The premise part of the fuzzy rules of the network reflects the relation of the division space for the entire input space and the consequent part of the fuzzy rules expresses three types of polynomial functions such as constant, linear, and modified quadratic. For the multi-output structure the neurons in the output layer were connected with connection weights. The learning of fuzzy neural networks is realized by adjusting connections of the neurons both in the consequent part of the fuzzy rules and in the output layer, and it follows a back-propagation algorithm. In addition, in order to optimize the network, the parameters of the network such as apexes of membership functions, learning rate and momentum coefficient are automatically optimized by using real-coded genetic algorithm. Two examples are included to evaluate the performance of the proposed network.

Solution of Fuzzy Relation Equations Using Duality of Operators

  • Lai, Edmund;Park, Chan-Gook
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.106.2-106
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    • 2001
  • The two typical composite operations of fuzzy relation are the max-min and the min-max composite operations. It is known that the two operations can be completely dual. This paper pays attention to the nature that these two typical operations are completely dual and investigates the correlation between the max-min composite relation equation and the min-max composite relation equation. An important scheme of correlation is in the characteristic of solution sets derived from these two fuzzy relation equations. The paper explains that one of the composite fuzzy relation equations is solvable using the solution method of the other fuzzy relation equation. The above-mentioned duality plays an important role in this solution procedure. Since it is not necessary to build the solution method separately like before, calculation efficiency can be raised. Moreover, the solution for the relation ...

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GENERALIZED FUZZY CONGRUENCES ON SEMIGROUPS

  • Chon, Inheung
    • Korean Journal of Mathematics
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    • 제18권4호
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    • pp.343-356
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    • 2010
  • We define a G-fuzzy congruence, which is a generalized fuzzy congruence, discuss some of its basic properties, and characterize the G-fuzzy congruence generated by a fuzzy relation on a semigroup. We also give certain lattice theoretic properties of G-fuzzy congruences on semigroups.

INTUITIONISTIC FUZZY FILTERS OF ORDERED SEMIGROUPS

  • Shabir, M.;Khan, A.
    • Journal of applied mathematics & informatics
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    • 제26권5_6호
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    • pp.1071-1084
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    • 2008
  • The notion of intuitionistic fuzzy filters in ordered semigroups is introduced and relation between intuitionistic fuzzy filters and intuitionistic fuzzy prime ideals is investegated. The notion of intuitionistic fuzzy bi-ideal subsets and intuitionistic fuzzy bi-filters are provided and relation between intuitionistic fuzzy bi-filters and intuitionistic fuzzy prime bi-ideal subsets is established. The concept of intuitionistic fuzzy right filters(1eft filters) is given and their relation with intuitionistic fuzzy prime right (left) ideals is discussed.

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COMMUTATIVE RINGS DERIVED FROM FUZZY HYPERRINGS

  • Davvaz, Bijan;Firouzkouhi, Narjes
    • 호남수학학술지
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    • 제42권2호
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    • pp.219-234
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    • 2020
  • The fundamental relation on a fuzzy hyperring is defined as the smallest equivalence relation, such that the quotient would be the ring, that is not commutative necessarily. In this paper, we introduce a new fuzzy strongly regular equivalence on fuzzy hyperrings, where the ring is commutative with respect to both sum and product. With considering this relation on fuzzy hyperring, the set of the quotient is a commutative ring. Also, we introduce fundamental functor between the category of fuzzy hyperrings and category of commutative rings and some related properties. Eventually, we introduce α-part in fuzzy hyperring and determine some necessary and sufficient conditions so that the relation α is transitive.

A NEW CONGRUENCE RELATION ON LATTICE IMPLICATION ALGEBRAS

  • Jun, Young-Bae;Song, Seok-Zun
    • Journal of applied mathematics & informatics
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    • 제13권1_2호
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    • pp.385-392
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    • 2003
  • Using a fuzzy filter, a new congruence relation induced by the fuzzy filter is given in lattice implication algebras, and some of their properties are investigated.