• Annals of Fuzzy Mathematics and Informatics
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• 제16권3호
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• pp.285-299
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• 2018

Many generalizations of ideals of a lattice to an arbitrary poset have been studied by different scholars. In this paper, we introduce several L-fuzzy ideals of a poset which generalize the notion of an L-fuzzy ideal of a lattice and give several characterizations of them.

• Korean Journal of Mathematics
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• 제29권2호
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• pp.305-320
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• 2021

In this paper, the relations between L-fuzzy semi-prime (respectively, L-fuzzy prime) ideals of a poset and L-fuzzy semi-prime (respectively, L-fuzzy prime) ideals of the lattice of all ideals of a poset are established. A result analogous to Separation Theorem is obtained using L-fuzzy semi-prime ideals.

• Korean Journal of Mathematics
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• 제27권2호
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• pp.329-342
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• 2019

In this paper, we introduce the notion of L-fuzzy semi-prime ideals and the radical of L-fuzzy ideals in universal algebras and make a theoretical study on their basic properties.

• Journal of applied mathematics & informatics
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• 제42권4호
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• pp.855-866
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• 2024

The set of all prime L-fuzzy ideals of an ADL A with truth values in a frame L is topologized and the resulting space is denoted by 𝓕_L Spec (A), called fuzzy Stone space of A. Certain properties of the space 𝓕_L Spec (A) are discussed, and it is proved that 𝓕_L Spec (A) is homeomorphic with the product space Spec (A) × Spec (L).

• Journal of applied mathematics & informatics
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• 제37권5_6호
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• pp.383-397
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• 2019

In this paper, we introduce ${\delta}$-fuzzy ideals in a pseudo complemented distributive lattice in terms of fuzzy filters. It is proved that the set of all ${\delta}$-fuzzy ideals forms a complete distributive lattice. The set of equivalent conditions are given for the class of all ${\delta}$-fuzzy ideals to be a sub-lattice of the fuzzy ideals of L. Moreover, ${\delta}$-fuzzy ideals are characterized in terms of fuzzy congruences.

• 호남수학학술지
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• 제37권2호
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• pp.187-205
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• 2015

We discuss the relationship between interval-valued fuzzy ideals and interval-valued fuzzy congruence on a distributive lattice L and show that for a generalized Boolean algebra the lattice of interval-valued fuzzy ideals is isomorphic to the lattice of interval-valued fuzzy congruences. Finally we consider the products of interval-valued fuzzy ideals and obtain a necessary and sufficient condition for an interval-valued fuzzy ideal on the direct sum of lattices to be representable as a direct sum of interval-valued fuzzy ideals on each lattice.

• 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.

• Journal of applied mathematics & informatics
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• 제30권3_4호
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• pp.603-612
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• 2012

In this paper, we introduce and study the intuitionistic fuzzy prime (semi-prime) ${\Gamma}$-ideals of ${\Gamma}$-LA-semigroups and some interesting properties are investigated. The main result of the paper is: if $A={\langle}{\mu}_A,{\gamma}_A{\rangle}$ is an IFS in ${\Gamma}$-LA-semigroup S, then $A={\langle}{\mu}_A,{\gamma}_A{\rangle}$ is an intuitionistic fuzzy prime (semi-prime) ${\Gamma}$-ideal of S if and only if for any $s,t{\in}[0,1]$, the sets $U({\mu}_A,s)=\{x{\in}S:{\mu}_A(x){\geq}s\}$ and $L({\gamma}_A,t)=\{x{\in}S:{\gamma}_A(x){\leq}t\}$ are prime (semi-prime) ${\Gamma}$-ideals of S.

• 한국항해항만학회지
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• 제37권5호
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• pp.493-498
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• 2013

본 연구는 퍼지 TOPSIS법과 AHP법을 이용하여 IMO 정보관리시스템의 예비과제 우선순위를 평가하기 위한 것이다. 이러한 평가를 위해 먼저 24개의 예비과제를 추출하여 FSM법을 이용하여 대체안을 구조화하였고, 최종 4개의 주요 예비과제를 도출한다. 또한 평가항목간의 가중치는 의사결정자의 일관성을 유지하면서 평가가 가능한 AHP법을 이용한다. 그러나 AHP법은 비교대상의 수가 증가하면 쌍대비교의 횟수가 증가하고, 평가에는 수많은 애매성이 존재하기 때문에 최종 우선순위 선정에는 TOPSIS에 퍼지이론을 도입한 퍼지 TOPSIS법을 이용한다. 그 결과 IMO 기준정보관리, IMO 정보기준전달, IMO 통합데이터베이스, IMO 지식허브 순으로 구축되어야 하는 것으로 나타났다.

• Journal of Power Electronics
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• 제13권1호
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• pp.139-160
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• 2013

In this paper, an intelligent robust control system (IRCS) for precision tracking control of permanent-magnet synchronous motor (PMSM) servo drives is proposed. The IRCS comprises a recurrent wavelet-based interval type-2 fuzzy-neural-network controller (RWIT2FNNC), an RWIT2FNN estimator (RWIT2FNNE) and a compensated controller. The RWIT2FNNC combines the merits of a self-constructing interval type-2 fuzzy logic system, a recurrent neural network and a wavelet neural network. Moreover, it performs the structure and parameter-learning concurrently. The RWIT2FNNC is used as the main tracking controller to mimic the ideal control law (ICL) while the RWIT2FNNE is developed to approximate an unknown dynamic function including the lumped parameter uncertainty. Furthermore, the compensated controller is designed to achieve $L_2$ tracking performance with a desired attenuation level and to deal with uncertainties including approximation errors, optimal parameter vectors and higher order terms in the Taylor series. Moreover, the adaptive learning algorithms for the compensated controller and the RWIT2FNNE are derived by using the Lyapunov stability theorem to train the parameters of the RWIT2FNNE online. A computer simulation and an experimental system are developed to validate the effectiveness of the proposed IRCS. All of the control algorithms are implemented on a TMS320C31 DSP-based control computer. The simulation and experimental results confirm that the IRCS grants robust performance and precise response regardless of load disturbances and PMSM parameters uncertainties.