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Reliability Analysis of Systems Using Level (λ, 1) Interval-valued Fuzzy Sets Considering the Widths

  • Journal of Knowledge Information Technology and Systems
  • Abbr : JKITS
  • 2018, 13(1), pp.121-127
  • DOI : 10.34163/jkits.2018.13.1.012
  • Publisher : Korea Knowledge Information Technology Society
  • Research Area : Interdisciplinary Studies > Interdisciplinary Research
  • Published : February 28, 2018

Cho, Sang Yeop 1

1청운대학교

Accredited

ABSTRACT

In the fuzzy set theory there are various types of the fuzzy sets to deal with the reliability of systems. In the fuzzy sets the degree of membership is represented by real number. ∈ . Sometimes the membership degree of the fuzzy sets can not be represented by real number because the degree of membership itself may has the uncertainty. To overcome this problem the interval valued fuzzy sets are proposed. In the interval valued fuzzy sets the degree of membership is represented by interval [, ]. is the smallest degree of memebership and is the greatest degree of membership. [, ] ⊆ . 0 ≤ ≤ ≤ 1. Once the degrees of membership of the interval valued fuzzy serts are assigned as some reals and then these numbers can not be resized. In order to resolve the this demerit the level (λ, 1) interval valued fuzzy sets are introduced. In the level (λ, 1) interval valued fuzzy sets the smallest degree of membership can be resize using the λ. In this paper we propose the way to evaluate the reliability of systems based on the level (λ, 1) interval valued fuzzy sets and its widths. The proposed method may be used to analyze the reliability of systems which have the concept of the level (λ, 1) interval valued fuzzy sets and may be able to evaluate the relaibility more accuracy than the interval valued fuzzy sets because of using the the level (λ, 1) interval valued fuzzy sets and its widths.

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