• East Asian mathematical journal
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• 제21권2호
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• pp.205-217
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• 2005

In this paper we consider the fuzzy ideals of N-group G where N is a near-ring. We introduce the concepts: minimal elements, fuzzy linearly independent elements, and fuzzy basis of an N-group G and obtained fundamental related results.

• 대한수학회보
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• 제35권3호
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• pp.455-464
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• 1998

In this paper, we give another proof of Theorem 2.13 of [4] without using the sup property. For the homomorphic image $f(\mu)$ and preimage $f^{-1}(\nu)$ of fuzzy left (resp. right) ideals $\mu$ and $\nu$ respectively, we establish the chains of level left (resp. right) ideals of $f(\mu)$ and $f^{-1}(\nu)$, respectively. Moreover, we prove that a necessary condition for a fuzzy ideal $\mu$ of a near-ring $R$ to be prime is that $\mu$ is two-valued.

• Korean Journal of Mathematics
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• 제8권2호
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• pp.147-154
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• 2000

In this paper, with the notion of fuzzy ${\kappa}$-ideals of semirings, we discuss and review several results described in [4].

• 대한수학회보
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• 제33권4호
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• pp.593-601
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• 1996

W. Liu [11] has studied fuzzy ideals of a ring, and many researchers [5,6,7,16] are engaged in extending the concepts. The notion of fuzzy ideals and its properties were applied to various areas: semigroups [8,9,10,13,15], distributive lattices [2], artinian rings [12], BCK-algebras [14], near-rings [1]. In this paper we obtained an exact analogue of fuzzy ideals for near-ring which was discussed in [5, 11].

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2004년도 춘계학술대회 학술발표 논문집 제14권 제1호
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• pp.372-377
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• 2004

We introduce the concepts of intuitionistic fuzzy ideals and intuitionistic fuzzy congruences on a lattice, and discuss the relationship between intuitionistic fuzzy ideals and intuitionistic fuzzy congruence on a distributive lattice. Also we prove that for a generalized Boolean algebra, the lattice of intuitionistic fuzzy ideals is isomorphic to the lattice of intuitionistic fuzzy congruences. Finally, we consider the products of intuitionistic fuzzy ideals and obtain a necessary and sufficient condition for an intuitionistic fuzzy ideals on the direct sum of lattices to be representable on a direct sum of intuitionistic fuzzy ideals on each lattice.

• 한국지능시스템학회논문지
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• 제15권6호
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• pp.771-779
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• 2005

We introduce two concepts of intuitionistic fuzzy Rees congruence on a semigroup and intuitionistic fuzzy Rees con-gruence semigroup. As an important result, we prove that for a intuitionistic fuzzy Rees congruence semigroup S, the set of all intuitionistic fuzzy ideals of S and the set of all intuitionistic fuzzy congruences on S are lattice isomorphic. Moreover, we show that a homomorphic image of an intuitionistic fuzzy Rees congruence semigroup is an intuitionistic fuzzy Rees congruence semigroup.

• 호남수학학술지
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• 제34권2호
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• pp.135-144
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• 2012

falling subalgebra/ideal of a BCK/BCI-algebra is introduced. Relations between falling subalgebras and falling ideals are given. Relations between fuzzy subalgebras/ideals and falling sub-algebras/ideals are provided. A characterization of a falling ideal is established.

• Journal of Information Technology Applications and Management
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• 제19권3호
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• pp.19-30
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• 2012

Material selection is a complex problem in the design and development of products for diverse engineering applications. This paper is aimed to present a fuzzy decision making approach to deal with the material selection in engineering design problems. A fuzzy multi criteria decision-making model is proposed for solving the material selection problem. The proposed model makes use of fuzzy TOPSIS (Technique for Order reference by Similarity to Ideal Solution) with trapezoidal numbers for evaluating the criteria and ranking the alternatives. And result is compared with fuzzy VIKOR (VlseKriterijumska Optimizacija I Kompromisno Resenje in Serbian, means Multi criteria Optimisation and Compromise Solution) which is proposed by Jeya Girubha and Vinodh [2012]. The present paper is aimed to also improve literature of fuzzy decision making for material selection problem.

• 한국사회복지학
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• 제64권2호
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• pp.31-54
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• 2012

본 연구는 생활시간조사자료를 활용하여 가구 내에서 배분되는 일-가족시간에 대한 실증분석을 수행하였다. 부부의 유급노동시간과 가족시간에서 차지하는 남성의 비중을 근거로 일-가족 시간 배분을 4개의 모형(전통적 남성생계부양, 이중노동부담, 협조적 적응, 가족친화적 남성생계부양)으로 유형화하였으며, 퍼지셋이상형분석을 통해 각 유형에 소속되어 있는 정도를 점수화한 후, 각 모형의 소속점수에 대한 중다회귀분석을 수행하였다. 연구결과, 지난 10년간 이중노동부담의 비중이 감소하고 협조적 적응 유형이 증가한 것으로 나타나고 있으나, 여전히 전체적인 모형별 분포를 보면 전통적인 성분업에 고착된 구조를 보여주고 있었다. 4개의 시간배분 모형에 대한 회귀분석 결과 역시 각 모형별 분석의 유용성을 보여주었으며, 무엇보다 성분업 의식의 역할은 제한적인 것으로 나타났다. 이를 바탕으로 향후 가족정책의 논의에 있어 가구내의 미시적 성분업 구조와 일-가족시간의 배분과 관련된 역동성을 좀 더 면밀히 파악할 필요가 있다는 점과, 방법론적 함의로 미시자료를 이용한 양적연구에서도 퍼지셋 활용이 방법론적 다양성을 제공해 줄 수 있다는 점을 논의하였다.

• 호남수학학술지
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• 제36권3호
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• pp.569-596
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• 2014

In several applied disciplines like control engineering, computer sciences, error-correcting codes and fuzzy automata theory, the use of fuzzied algebraic structures especially ordered semi-groups and their fuzzy subsystems play a remarkable role. In this paper, we introduce the notion of (${\in},{\in}{\vee}\bar{q}_k$)-fuzzy subsystems of ordered semigroups namely (${\in},{\in}{\vee}\bar{q}_k$)-fuzzy generalized bi-ideals of ordered semigroups. The important milestone of the present paper is to link ordinary generalized bi-ideals and (${\in},{\in}{\vee}\bar{q}_k$)-fuzzy generalized bi-ideals. Moreover, different classes of ordered semi-groups such as regular and left weakly regular ordered semigroups are characterized by the properties of this new notion. Finally, the upper part of a (${\in},{\in}{\vee}\bar{q}_k$)-fuzzy generalized bi-ideal is defined and some characterizations are discussed.