• Journal of applied mathematics & informatics
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• 제33권5_6호
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• pp.607-625
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• 2015

Recently, Wang et al. [Computers and Mathematics with Ap-plications 57 (2009) 1232-1248.] and Wang and Watada [Information Sci-ences 179 (2009) 4057-4069.] studied the renewal process and renewal reward process with fuzzy random inter-arrival times and rewards under the T-independence associated with any continuous Archimedean t-norm. But, their main results do not cover the classical theory of the random elementary renewal theorem and random renewal reward theorem when fuzzy random variables degenerate to random variables, and some given assumptions relate to the membership function of the fuzzy variable and the Archimedean t-norm of the results are restrictive. This paper improves the results of Wang and Watada and Wang et al. from a mathematical per-spective. We release some assumptions of the results of Wang and Watada and Wang et al. and completely generalize the classical stochastic renewal theorem and renewal rewards theorem.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2002년도 추계학술대회 및 정기총회
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• pp.29-32
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• 2002

We consider the question whether, for given fuzzy numbers, there are different Pairs of f-norm such that the resulting membership function within the extension principle under addition are identical. Some examples are given.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제19권4호
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• pp.397-407
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• 2012

Let X and Y be vector spaces. We introduce a new type of a cubic functional equation $f$ : $X{\rightarrow}Y$. Furthermore, we assume X is a vector space and (Y, N) is a fuzzy Banach space and then investigate a fuzzy version of the generalized Hyers-Ulam stability in fuzzy Banach space by using fixed point method for the cubic functional equation.

• Journal of applied mathematics & informatics
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• 제20권1_2호
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• pp.255-277
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• 2006

By means of the use of a triangular norm T, the notion of T-fuzzy hyperideals in hypernear-rings is stated, and basic properties are investigated. Moreover, the notion of Noetherian hypernear-rings is introduced, and its characterization is given. At last, the properties of quotient hypernear-rings and T-fuzzy characteristic hyper ideals are discussed.

• Journal of applied mathematics & informatics
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• 제5권1호
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• pp.153-162
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• 1998

We study limits of sums of fuzzy numbers with different spreads and different shape functions where addition is defined by the sup-t-norm. We show the existence of the limit of the series of fuzzy numbers and prove the uniform continuity of the limit. Finally we investigate a law of large numbers for sequences of fuzzy numbers.

• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.411-424
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• 2006

The purpose of this paper, using the idea of intuitionistic fuzzy set due to Atanassov [2], we define the notion of intuitionistic fuzzy metric spaces (see, [1]) due to Kramosil and Michalek [17] and Jungck's common fixed point theorem ([11]) is generalized to intuitionistic fuzzy metric spaces. Further, we first formulate the definition of weakly commuting and R-weakly commuting mappings in intuitionistic fuzzy metric spaces and prove the intuitionistic fuzzy version of Pant's theorem ([21]).

• 한국지능시스템학회:학술대회논문집
• /
• 한국퍼지및지능시스템학회 2002년도 추계학술대회 및 정기총회
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• pp.126-129
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• 2002

An intelligent digital redesign technique (IDR) for the observer-based output feedback Takagi-Sugeno (T-5) fuzzy control system with fuzzy outputs is developed. The considered IDR condition is cubically parameterized as convex minimization problems of the norm distances between linear operators to be matched.'rho stability condition is easily embedded and the separations principle is explicitly shown.

• 정보처리학회논문지B
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• 제16B권4호
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• pp.327-331
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• 2009

퍼지 논리에서 불확실성의 병합은 일반적으로 t-norm 과 t-conorm 같은 연산자에 의해 수행된다. 그러나 기존의 병합 연산자는 다음과 같은 단점을 가지고 있다 : 첫째, 그들은 상황에 독립적이다. 결과적으로 동적 병합 과정에 적절히 적용하기 어렵다. 둘째, 의사결정 과정에의 직관적 연결성을 제공하지 못한다. 이러한 문제점을 해결하기 위해 의사결정 과정에서 옵션들의 강점 정도를 반영해 주는 퍼지 다차원 의사결정분석에 기반을 둔 $\varepsilon$-AMDA 알고리즘을 제안한다. $\varepsilon$-AMDA 알고리즘은 옵션의 강점 정도를 나타내 주는 매개변수의 값에 따라 최소값(옵션의 최약점)과 최대값(옵션의 최강점) 사이에서 적응적인 병합 결과를 생성한다. 이러한 관점에서 이는 동적 병합에 적용될 수 있다. 또한, 의사결정을 위한 퍼지 다차원 의사결정 분석에 대한 메커니즘을 제공하고 의사결정 과정에의 직관적 연결성을 제공한다. 결과적으로 제안된 방법은 의사결정자가 옵션의 강점 정도에 따라 적절한 의사결정을 하도록 지원할 수 있다.