• 제목/요약/키워드: fuzzy theory

검색결과 1,164건 처리시간 0.022초

FUZZY HYPERCUBES: A New Inference Machines

  • Kang, Hoon
    • 한국지능시스템학회논문지
    • /
    • 제2권2호
    • /
    • pp.34-41
    • /
    • 1992
  • A robust and reliable learning and reasoning mechanism is addressed based upon fuzzy set theory and fuzzy associative memories. The mechanism stores a priori an initial knowledge base via approximate learning and utilizes this information for decision-making systems via fuzzy inferencing. We called this fuzzy computer architecture a 'fuzzy hypercube' processing all the rules in one clock period in parallel. Fuzzy hypercubes can be applied to control of a class of complex and highly nonlinear systems which suffer from vagueness uncertainty. Moreover, evidential aspects of a fuzzy hypercube are treated to assess the degree of certainty or reliability together with parameter sensitivity.

  • PDF

Distributivity of fuzzy numbers under t-norm based fuzzy arithmetic operations

  • Hong, Dug-Hun
    • Journal of the Korean Data and Information Science Society
    • /
    • 제14권1호
    • /
    • pp.93-101
    • /
    • 2003
  • Computation with fuzzy numbers is a prospective branch of a fuzzy set theory regarding the data processing applications. In this paper we consider an open problem about distributivity of fuzzy quantities based on the extension principle suggested by Mare (1997). Indeed, we show that the distributivity on the class of fuzzy numbers holds and min-norm is the only continuous t-norm which holds the distributivity under t-norm based fuzzy arithmetic operations.

  • PDF

FUZZY SET THEORY APPLIED TO IMPLICATIVE IDEALS IN BCK-ALGEBRAS

  • Jun, Young-Bae;Song, Seok-Zun
    • 대한수학회보
    • /
    • 제43권3호
    • /
    • pp.461-470
    • /
    • 2006
  • As a continuation of [4], characterizations of fuzzy implicative ideals are given. An extension property for fuzzy implicative ideals is established. We prove that the family of fuzzy implicative ideals is a completely distributive lattice. Using level subsets of a BCk-algebra X with respect to a fuzzy set $\={A}$ in X, we construct a fuzzy implicative ideal of X containing $\={A}$.

INTUITIONISTIC FUZZY NORMAL SUBGROUPS AND INTUITIONISTIC FUZZY COSETS

  • HUR, KUL;JANG, SU YEON;KANG, HEE WON
    • 호남수학학술지
    • /
    • 제26권4호
    • /
    • pp.559-587
    • /
    • 2004
  • We study some properties of intuitionistic fuzzy normal subgroups of a group. In particular, we obtain two characterizations of intuitionistic fuzzy normal subgroups. Moreover, we introduce the concept of an intuitionistic fuzzy coset and obtain several results which are analogous of some basic theorems of group theory.

  • PDF

A NOTE ON RANDOM FUZZY RENEWAL PROCESS

  • Hong, Dug-Hun
    • Journal of applied mathematics & informatics
    • /
    • 제27권5_6호
    • /
    • pp.1459-1463
    • /
    • 2009
  • Recently, Zhao et.al [European Journal of Operational Research 169 (2006) 189-201] discussed a random fuzzy renewal process based on random fuzzy theory. They considered the rate of the random fuzzy renewal process and presented a random fuzzy elementary renewal theorem. They also established Blackwell's theorem in random fuzzy sense. But all these results are invalid. We give a counter example in this note.

  • PDF

LATTICE ORDERED FUZZY SOFT GROUPS

  • Mahmood, Tahir;Shah, Naveed Ahmad
    • 호남수학학술지
    • /
    • 제40권3호
    • /
    • pp.457-486
    • /
    • 2018
  • In several fields the soft set theory has a very vast range uses and applications. A soft group is a proper family of subgroups and a fuzzy soft group is a proper family of fuzzy subgroups. Here in this paper the concept of lattice ordered fuzzy soft groups is introduced. Also its some properties are studied and discussed. In addition, the defintion of lattice order fuzzy soft right (left) cosets and lattice order soft product of fuzzy soft subgroups and some related results are discussed to clear these ideas.

Adaptive Clustering Algorithm for Recycling Cell Formation: An Application of the Modified Fuzzy ART Neural Network

  • Park, Ji-Hyung;Seo, Kwang-Kyu
    • 한국데이타베이스학회:학술대회논문집
    • /
    • 한국데이타베이스학회 1999년도 춘계공동학술대회: 지식경영과 지식공학
    • /
    • pp.253-260
    • /
    • 1999
  • The recycling cell formation problem means that disposal products me classified into recycling part families using group technology in their end of life phase. Disposal products have the uncertainties of product status by usage influences during product use phase and recycling cells are formed design, process and usage attributes. In order to treat the uncertainties, fuzzy set theory and fuzzy logic-based neural network model are applied to recycling cell formation problem far disposal products. In this paper, a heuristic approach fuzzy ART neural network is suggested. The modified fuzzy ART neural network is shown that it has a great efficiency and give an extension for systematically generating alternative solutions in the recycling cell formation problem. We present the results of this approach applied to disposal refrigerators and the comparison of performances between other algorithms. This paper introduced a procedure which integrates economic and environmental factors into the disassembly of disposal products for recycling in recycling cells. A qualitative method of disassembly analysis is developed and its ai is to improve the efficiency of the disassembly and to generated an optimal disassembly which maximize profits and minimize environmental impact. Three criteria established to reduce the search space and facilitate recycling opportunities.

  • PDF

Adaptive Clustering Algorithm for Recycling Cell Formation An Application of the Modified Fuzzy ART Neural Network

  • Park, Ji-Hyung;Seo, Kwang-Kyu
    • 한국지능정보시스템학회:학술대회논문집
    • /
    • 한국지능정보시스템학회 1999년도 춘계공동학술대회-지식경영과 지식공학
    • /
    • pp.253-260
    • /
    • 1999
  • The recycling cell formation problem means that disposal products are classified into recycling part families using group technology in their end of life phase. Disposal products have the uncertainties of product status by usage influences during product use phase and recycling cells are formed design, process and usage attributes. In order to treat the uncertainties, fuzzy set theory and fuzzy logic-based neural network model are applied to recycling cell formation problem for disposal products. In this paper, a heuristic approach for fuzzy ART neural network is suggested. The modified Fuzzy ART neural network is shown that it has a great efficiency and give an extension for systematically generating alternative solutions in the recycling cell formation problem. We present the results of this approach applied to disposal refrigerators and the comparison of performances between other algorithms. This paper introduced a procedure which integrates economic and environmental factors into the disassembly of disposal products for recycling in recycling cells. A qualitative method of disassembly analysis is developed and its aim is to improve the efficiency of the disassembly and to generated an optimal disassembly which maximize profits and minimize environmental impact. Three criteria established to reduce the search space and facilitate recycling opportunities.

  • PDF

TOLERANT FUZZY PATTERN MATCHING : AN INTRODUCTION

  • DUBOIS, DIDIER;PRADE, HENRI
    • 한국지능시스템학회논문지
    • /
    • 제3권2호
    • /
    • pp.3-17
    • /
    • 1993
  • The fuzzy pattern matching technique has been developed in the framework of fuzzy set and possibility theory in order to take into account the imprecision and the uncertainty pervading values which have to be compared to requirements (which may be fuzzy) in a pattern matching process. This paper restates the basic principles and extends them to situations where (sub)patterns are only required to be satisfied up to a given tolerance (which may be fuzzy), or where the different subparts of a compound pattern may have various levels of importance. Both cases correspond to a weakening of elementary patterns. which can be expressed by a fuzzy relations modelling an approximate equality or an uncertain strict equality respectively. We also study the more sophisticated case where some elementary patterns have not to be satisfied with the highest priority provided that weaker requirements remain satisfied. The fuzzy pattern matching technique applies in a variety of problems including the evaluation of soft queries with respect to a fuzzy database, the evaluation of the fuzzy condition parts of rules in approximate reasoning, or the evaluation of the belonging of an ill-known object to a flexible class in classification problems.

  • PDF

A Method for Service Evaluation Based on Fuzzy Theory for Cloud Computing

  • Guo, Liangmin;Luo, Yonglong;He, Xiaokang;Hu, Guiyin;Dong, Yan
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • 제11권4호
    • /
    • pp.1820-1840
    • /
    • 2017
  • Aiming at the phenomenon of false information issued by service providers in cloud computing environment, a method for service evaluation based on fuzzy theory is put forward in this paper. According to the quality of services provided by cloud service providers and their behavior during interactions, a trust relationship between cloud service providers and cloud service consumers is established, which can be quantified by using fuzzy theory. The quality of services is evaluated by drawing on the trust relationship. In our method, the recommendation credibility of a cloud service consumer is determined through behavior similarity with evaluators and a praise factor. The introduction of the praise factor better suits the phenomenon of a high-quality service getting more repeat customers. The negative impact of dishonest customers is reduced, and the accuracy of trust and cloud service quality evaluation is improved by introducing a confidence factor that can be dynamically adjusted. The experimental results show that our method can effectively and accurately evaluate the trust value and service quality of providers, while weakening the influence of dishonest consumers, and quickly detect dishonest service providers. This is beneficial for consumers trying to find high quality service providers for similar services.