• 대한수학회논문집
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• 제26권3호
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• pp.417-425
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• 2011

In this paper, we introduce the notion of a vague filter in BE-algebras, and investigate some properties of them. Also we give conditions for a vague set to be a vague filter, and we characterize vague filters in BE-algebras.

• Journal of applied mathematics & informatics
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• 제26권5_6호
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• pp.1221-1232
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• 2008

The notions of vague d-subalgebras, vague BCK-ideals, vague d-ideals, vague $d^#$-ideals and vague $d^*$-ideals are introduced, and their properties are investigated. Relations between vague d-subalgebras, vague BCK-ideals, vague d-ideals, vague $d^#$-ideals and vague $d^*$-ideals are established.

• 한국지능시스템학회논문지
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• 제20권3호
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• pp.356-361
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• 2010

M. Demirci[Vague groups, J. math. Anal. Appl. vol.230, pp. 142-156, 1999] studied the vague group operation on a crisp set as a fuzzy function and estabished the vague group structure on a crisp set. In this paper we consider bi-groups which are studied by A.A.A. Agboola and L.S. Akinola. And we also will define vague bi-groups and fuzzy bi-functions and we investigate some basic operations on the vague bi-group and fuzzy bi-functions.

• 한국정보과학회논문지:소프트웨어및응용
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• 제32권9호
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• pp.927-935
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• 2005

규칙기반시스템에서 퍼지 생성규칙의 확신도와 규칙에 나타나는 퍼지 술어의 확신도는 0과 1사이의 실수로 표현한다. 만일 퍼지 생성규칙의 확신도와 퍼지 술어의 확신도를 모호집합에 기반을 둔 0과 1사이의 모호숫자와 같은 구간으로 표현한다면, 규칙기반시스템이 더 유연한 방법으로 퍼지추론을 하는 것이 가능하게 된다[18]. 우리는 모호집합 추론을 자동으로 실행하는 효율적인 알고리즘을 제안하였다. 이 모호집합 추론 알고리즘은 규칙기반시스템이 더 유연하고 효율적인 추론을 실행하는 것을 허용한다.

• 산업경영시스템학회지
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• 제20권43호
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• pp.321-331
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• 1997

Measurement of attributes is often highly subjective and imprecise, yet most MADM methods lack provisions for handling imprecise data. Frequently, decision makers must establish a ranking within a finite set of alternatives with respect to multiple attributes which have varying degrees of importance. The problem is more complex if the evaluations of alternatives according to each attribute are not expressed in precise numbers, but rather in fuzzy numbers. Analysis must allow for lack of precision and partial truth. The advantages of a fuzzy approach for MADM are that a decision maker can obtain efficient solutions all at once without trial and error, and that this approach provides better support for judging the interactive improvement of solutions in comparison with o decision making method. The algorithm used in this study is based on the concepts of vague set theory. Linguistic variables and vague values are used to facilitate a decision maker's subjective assessment about attribute weightings and the appropriateness of alternative versus selection attributes in order to obtain final scores which are called vague appropriateness indices. A numerical example is presented to show the practical applicability of this approach.

• Journal of applied mathematics & informatics
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• 제26권1_2호
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• pp.427-436
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• 2008

The notion of vague deductive systems in subtraction algebras is introduced, and several properties are investigated. Conditions for a vague set to be a vague deductive system are provided. Characterizations of a vague deductive system are established.

• 충청수학회지
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• 제26권3호
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• pp.453-465
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• 2013

The notion of vague $p$-ideals and vague $a$-ideals of BCI-algebras is introduced, and several properties of them are investigated. We show that a vague set of a BCI-algebra is a vague $a$-ideal if and only if it is both a vague $q$-ideal and a vague $p$-ideal.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제19권2호
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• pp.127-136
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• 2012

In this paper, we introduce the notion of an implicative vague filter in BE-algebras, and investigate some properties of them. Also we give conditions for a vague set to be an implicative vague filter, and we characterize implicative vague filters in BE-algebras. We define the notion of $n$-fold implicative vague filters in BE-algebras and we give characterizations of $n$-fold implicative vague filters and $n$-fold implicative BE-algebras.

• 한국지능시스템학회논문지
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• 제19권5호
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• pp.603-608
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• 2009

본 논문에서는 구간값 모호집합 사이의 유사척도를 제안한다. 구간값 모호집합에서는 모호집합의 상한과 하한을 각각 구간값 퍼지집합의 구간으로 표현한다. 제안한 유사척도는 구간값 모호집합 사이의 유사척도를 평가하기 위해 기하학적 거리와 구간값 모호집합 사이의 중심점 개념을 결합한다. 우리는 제안한 유사척도에 대한 세 가지 속성도 증명한다. 제안한 방법은 구간값 모호집합 사이의 유사정도를 측정하는 유용한 방법을 제공한다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제15권3호
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• pp.297-308
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• 2008

The notions of vague BCK/BCI-algebras and vague ideals are introduced, and their properties are investigated. Conditions for a vague set to be a vague ideal are provided. Characterizations of a vague ideal are established.