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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.

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