Comparison of Interval-valued fuzzy sets, Intuitionistic fuzzy sets, and bipolar-valued fuzzy sets

Lee, Keon Myung

doi:10.5391/jkiis.2004.14.2.125

Cited by 74 publications

(60 citation statements)

References 2 publications

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“…It is possible for an element x to be ϕ + (x) = 0 and ϕ − (x) = 0 when the membership function of the property overlaps that of its counter-property over some portion of the domain (see [6]). For the sake of simplicity, we shall use the symbol ϕ = (X; ϕ − , ϕ + ) for the bipolar-valued fuzzy set…”

Section: Basic Results On Bipolar-valued Fuzzy Setmentioning

confidence: 99%

Quasi-Associative Ideals in Bci-Algebras Based on Bipolar-Valued Fuzzy Sets

Jun¹,

Kim²,

Roh³

2009

Honam Mathematical Journal

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Abstract. After the introduction of fuzzy sets by Zadeh, there have been a number of generaizations of this fundamental concept. The notion of bipolar-valued fuzzy sets introduced by Lee is one among them. In this paper, we apply the concept of a bipolarvalued fuzzy set to quasi-associative ideals in BCI-algebras. The notion of a bipolar fuzzy quasi-associative ideal of a BCI-algebra is introduced, and some related properties are investigated. Characterizations of a bipolar fuzzy quasi-associative ideal are given. Extension property for a bipolar fuzzy QA-ideal is established.

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Section: Basic Results On Bipolar-valued Fuzzy Setmentioning

confidence: 99%

Quasi-Associative Ideals in Bci-Algebras Based on Bipolar-Valued Fuzzy Sets

Jun¹,

Kim²,

Roh³

2009

Honam Mathematical Journal

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“…There are several kinds of fuzzy set extensions in the fuzzy set theory, for example, intuitionistic fuzzy sets, interval-valued fuzzy sets etc. Bipolar-valued fuzzy sets, which are introduced by Lee [4,5], are an extension of fuzzy sets whose membership degree range is enlarged from the interval [0,1] to [-1, 1]. In [2], Y.B.…”

Section: Introductionmentioning

confidence: 99%

Cartesian Composition in Bipolar Fuzzy Finite State Machines

Subramaniyan¹,

Rajasekar²

2014

IJCA

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“…Bipolar-valued fuzzy sets and intuitionistic fuzzy sets look similar each other. However, they are different each other [7,8]. We introduce the concept of bipolar-valued fuzzy subgroup and established some results.…”

Section: Introductionmentioning

confidence: 99%