Reliability Analysis of Systems Using Level (λ, 1) Trapezoidal Interval valued Neutrosophic Sets (수준 (λ, 1) 사다리꼴 구간값 뉴트로소픽 집합을 이용한 시스템의 신뢰도 분석)

Cho, Sang Yeop (조상엽)

doi:10.34163/jkits.2018.13.5.004

Reliability Analysis of Systems Using Level (λ, 1) Trapezoidal Interval valued Neutrosophic Sets

Journal of Knowledge Information Technology and Systems
Abbr : JKITS
2018, 13(5), pp.545-552
DOI : 10.34163/jkits.2018.13.5.004
Publisher : Korea Knowledge Information Technology Society
Research Area : Interdisciplinary Studies > Interdisciplinary Research
Published : October 31, 2018

Cho, Sang Yeop ¹

¹청운대학교

Accredited

ABSTRACT

There are various types of fuzzy sets used to evaluate the reliability of the systems. In the fuzzy sets, the membership value is represented as a real number and the reliabilities are expressed by using it. In the interval valued fuzzy sets, the degree of membership is represented as an interval [, ] which is used to describe the reliabilities. In the vague sets, the degree of membership is represented as [, ] and it is used to express the reliabilities. In the interval valued vague sets, the membership degree is represented as a [, , , ] and it is used to express the reliabilities. In the level (λ, 1) interval valued fuzzy sets, the membership degree is represented as a interval [λ, 1] which is used to describe the reliabilities. In order to represent the degree of membership in the interval valued neutrosophic sets, (, , ) is used and the reliabilities are expressed by using it. In this paper we propose a level (λ, 1) interval valued neutrosophic sets that can express the merits of the level (λ, 1) interval valued fuzzy sets and the interval valued neutrosophic sets. In the level (λ, 1) interval valued neutrosophic sets its provide flexibility to adjust the size of the minimum membership value using λ and also enable to express the indeterminacy by using the indeterminacy membership value of the neutrosophic sets. Therefore the level (λ, 1) interval valued neutrosophic sets become more flexible and rigorous to describe the reliabilities than the other methods.

KEYWORDS

Reliability analysis, Fuzzy sets, Level (λ, 1) Interval valued fuzzy sets, Interval valued neutrosophic sets, Level (λ, 1) Interval valued neutrosophic sets

Citation status

* References for papers published after 2023 are currently being built.

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Journal of Knowledge Information Technology and Systems 2023 KCI Impact Factor : 0.89

Reliability Analysis of Systems Using Level (λ, 1) Trapezoidal Interval valued Neutrosophic Sets

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* References for papers published after 2023 are currently being built.

Journal of Knowledge Information Technology and Systems 2023 KCI Impact Factor : 0.89

Reliability Analysis of Systems Using Level (λ, 1) Trapezoidal Interval valued Neutrosophic Sets

ABSTRACT

KEYWORDS

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* References for papers published after 2023 are currently being built.