• Journal of the Korean Institute of Intelligent Systems
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• v.24 no.4
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• pp.398-402
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• 2014

A generalized trigonometric fuzzy set is a generalization of a trigonometric fuzzy number. Zadeh([7]) defines the probability of the fuzzy event using the probability. We define the normal and exponential fuzzy probability on $\mathbb{R}$ using the normal and exponential distribution, respectively, and we calculate the normal and exponential fuzzy probability for generalized trigonometric fuzzy sets.

• Journal of the Korea Society of Computer and Information
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• v.1 no.1
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• pp.183-188
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• 1996

Fuzzy sets Introduced by Zadeh is a concept which can process, and reson a vague Information using membership functions. The notion of rough sets introduced by Pawlak is based on the ability to classify. reduce. and perform approximation reasoning for the Indiscernible data.A comparison between fuzzy sets and rough sets has been given In Pawlak where it is shown that these concepts are different and can't combine each other. The purpose of this paper Is to Introduce and define the notion of fuzzy-rough sets which joins the membership function of fuzzy sets to the rough sets.

• Journal of the Korean Institute of Intelligent Systems
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• v.25 no.2
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• pp.197-202
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• 2015

A triangular fuzzy number is one of the most popular fuzzy numbers. Many results for the extended algebraic operations between two triangular fuzzy numbers are well-known. We generalize the triangular fuzzy numbers on $\mathbb{R}$ to $\mathbb{R}^2$. By defining parametric operations between two regions valued ${\alpha}$-cuts, we get the parametric operations for two triangular fuzzy numbers defined on $\mathbb{R}^2$.

• Journal of the Korean Institute of Intelligent Systems
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• v.8 no.4
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• pp.69-72
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• 1998

We introduce a concept of a 'fuzzy' map between sets by modifying the concetp of the extension principle introduced by Dubois and Prade in [1] and by using this we generalize Goguen's and Zadeh's extension principles in [2] and [3].

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1993.06a
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• pp.1277-1280
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• 1993

In this short note we show that a number of conclusions unacceptable to our intuitions or commonsense knowledge can be drawn from Zadeh's possiliblity theory.

• Proceedings of the Korean Magnestics Society Conference
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• 2008.12a
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• pp.216.2-216.2
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• 2008

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1998.06a
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• pp.376-379
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• 1998

We introduce the concept of a 'fuzzy' map between sets by modifying the concept of the extension principle introduced by Dubois and Prade in [1] and study their properties. Using these we generalize Goguen's and Zadeh's extension principles in [2] and [3].

• 전기의세계
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• v.39 no.12
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• pp.12-20
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• 1990

기존의 이진논리는 애매모호한 인간의 지식을 표현하는데 많은 여러움이 있었다. 컴퓨터의 사고를 보다 인간에 가깝게 하기 위해 0과 1의 이진논리가 아닌, 0과1 사이의 실수로 애매모호함을 표현하는 Zadeh의 퍼지집합이론이 제안되었다. 이를 기초로 하여, 실제로 여러 종류의 퍼지 연산들을 수행하는 퍼지프로세서들이 개발되었으며, 퍼지 컴퓨터를 실현시키기 위한 연구가 활발히 진행되고 있다. 본고에서는 퍼지논리에 기초하여 퍼지정보처리(Fuzzy Information Processing)을 수행하는 대표적인 하드웨어 시스템인 퍼지 컴퓨터와 퍼지 컨트롤러 (fuzzy controller)에 대해 알아보고 다단계 퍼지 추론을 수행하는 퍼지 메모리 모듈(fuzzy memory module)의 기본인 퍼지 플립플롭에 대해 알아보고자 한다.

• Korean Journal of Mathematics
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• v.11 no.1
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• pp.1-7
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• 2003

In this paper, we introduce two types of algebraic operations on fuzzy numbers using piecewise linear functions and then show that the Zadeh implication is smaller than the Diense-Rescher implication, which is smaller than the Lukasiewicz implication. If ($f$, *) is an available pair, then $A*_mB{\leq}A*_pB{\leq}A*_jB$.

• Kyungpook Mathematical Journal
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• v.58 no.1
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• pp.9-17
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• 2018

Let $R ={\oplus}_{n{\in}Z}R_n$ be a graded commutative Noetherian ring and let I be a graded ideal of R and J be an arbitrary ideal. It is shown that the i-th generalized local cohomology module of graded module M with respect to the (I, J), is graded. Also, the asymptotic behaviour of the homogeneous components of $H^i_{I,J}(M)$ is investigated for some i's with a specified property.