• 호남수학학술지
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• 제27권4호
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• pp.543-550
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• 2005

Some properties of a transitive fuzzy matrix are examined and the canonical form of the transitive fuzzy matrix is given using the properties. As a special case an open problem concerning idempotent matrices is solved. Thus we have the same result in a intuitionistic fuzzy matrix theory. In our results a nilpotent intuitionistic matrix and a symmetric intuitionistic matrix play an important role. We decompose a transitive intuitionistic fuzzy matrix into sum of a nilpotent intuitionistic matrix and a symmetric intuitionistic matrix. Then we obtain a canonical form of the transitive intuitionistic fuzzy matrix.

• Journal of applied mathematics & informatics
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• 제16권1_2호
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• pp.207-220
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• 2004

Necessary and sufficient conditions are given for the regularity of block triangular fuzzy matrices. This leads to characterization of idem-potency of a class of triangular Toeplitz matrices. As an application, the existence of group inverse of a block triangular fuzzy matrix is discussed. Equivalent conditions for a regular block triangular fuzzy matrix to be expressed as a sum of regular block fuzzy matrices is derived. Further, fuzzy relational equations consistency is studied.

• 호남수학학술지
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• 제33권3호
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• pp.301-310
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• 2011

In this paper, we construct the sets of fuzzy matrix pairs. These sets are naturally occurred at the extreme cases for the zero-term rank inequalities derived from the multiplication of fuzzy matrix pairs. We characterize the linear operators that preserve these extreme sets of fuzzy matrix pairs.

• Journal of applied mathematics & informatics
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• 제11권1_2호
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• pp.401-412
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• 2003

Using the idea of "intuitionistic fuzzy set" [l, 2, 3], we defined the concept of intuitionistic fuzzy matrices as a natural generalization of fuzzy matrices. And we introduced and studied the determinant of square intuitionistic fuzzy matrices [4]. In this paper, we investigate the adjoint of square intuitionistic fuzzy matrices.

• Kyungpook Mathematical Journal
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• 제48권3호
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• pp.473-486
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• 2008

In this paper we generate a fuzzy dynamical matrix Lyapunov system and obtain a sufficient condition for the observability of this system.

• 충청수학회지
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• 제27권4호
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• pp.615-624
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• 2014

We study special types of matrices. The involutary fuzzy matrices are important in various applications and have many interesting properties. Using the graphical method, we have the zero patterns of involutary fuzzy matrix, that is, involutary Boolean matrices. And we give the construction of all involutary fuzzy matrices for some dimensions and suggest the canonical form of involutary fuzzy matrix.

• 산업경영시스템학회지
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• 제35권3호
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• pp.155-162
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• 2012

This study proposes an integrated approach that uses both a fuzzy service FMEA (failure mode and effect analysis) and HOQ (house of quality) matrix algebra in designing and improving a service system. The fuzzy service FMEA methodology applies the customer satisfaction to the fuzzy RPN model. We fuzzify only the service satisfaction that consist in two failure factors, intangible service and tangible service, to more effectively assess the customer satisfactions on service encounters. Proposed fuzzy service satisfactions with triangle membership function are defuzzified by using the Fuzzy Inference System, and these are eventually identified the ranks on the potential fail points. HOQ matrices are constructed from cause-effect relationships. It is possible for these relationship matrix to find a linear approximation solution on the engineering attributes. Thus, in order to demonstrate how the proposed methods work, practical sample of the A/S part in S Electronic Co. provides for the ranking of the engineering attributes which has been successfully implemented.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 1993년도 Fifth International Fuzzy Systems Association World Congress 93
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• pp.1133-1136
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• 1993

Fuzzy algorithm is essentially nondeterministic, but to guarantee the stable control the fuzzy control program should be deterministic in practice. Fuzzy controllers with matrix representation is very simple in construction and very fast in computation. The value of the matrix is not adequate at the first place, but can be modified by using the neural networks. We apply the simple heuristic techniques to modify the matrix successfully.

• 한국지능시스템학회논문지
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• 제10권3호
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• pp.218-227
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• 2000

본 논문에서는 시소러스에 근거한 새로운 퍼지 정보검색 기법을 제안한다. 제안된 방법에서 시소러스는 내부 용어들 간의 관련도를 정성적인 언어 갑으로 갖는 퍼지 언어 매트릭스로 표현되며 용어들간의 관계는 동의, 계층, 그릭 연관이 세 가지 관계가 제공된다 싯러스 내부 용어들 간이 무시된 관련도가 퍼기 이론에 근거한 퍼지이론에 근거한 퍼지 언어 매트릭스의 전이 폐쇄 알고리즘에 의해 추론된다 또한 제안돈 방법은 사용자의 질의, 그리고 문서와 같은 정보 항목의 표현에도 인간이 주관적이고 부정확한 측도를 그대로 반영하는 정성적인 언어 값을 허용한다. 따라서 논문 [1-3]에서 제안된 방법보다 좀 더 유용하다. 또한 질의 평가시 퍼지 언어 매트릭스와 AON(Associated Ordinary Number)값을 이용하기 때문에 논문 [1-3]에서 사용되는 방법보다 시간적으로 효츌적이다. 결과적으로 사용자가 좀 더 유용하고 지능적인 방법으로 질의를 처리할 수있도록 한다

• 호남수학학술지
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• 제36권1호
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• pp.187-198
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• 2014

The fuzzy idempotent matrices are important in various applications and have many interesting properties. Using the upper diagonal completion process, we have the zero patterns of fuzzy idempotent matrix, that is, Boolean idempotent matrices. And we give the construction of all fuzzy idempotent matrices for some dimention.