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Reliability Analysis of Systems Using Level (λ, ρ) Intuitioninstic Fuzzy Sets

  • Journal of Knowledge Information Technology and Systems
  • Abbr : JKITS
  • 2017, 12(5), pp.705-711
  • DOI : 10.34163/jkits.2017.12.5.011
  • Publisher : Korea Knowledge Information Technology Society
  • Research Area : Interdisciplinary Studies > Interdisciplinary Research
  • Published : October 31, 2017

Cho, Sang Yeop 1

1청운대학교

Accredited

ABSTRACT

In this paper we propose a method to evaluate the reliability of systems using the level intuitionistic fuzzy sets. There are various studies using fuzzy sets, interval-valued fuzzy sets, L-R fuzzy numbers, level λ triangular fuzzy sets, level interval-valued fuzzy numbers, and intuitionistic fuzzy sets as methods to provide the theoretical basis of the analysis method for system reliability. The fuzzy sets represnt the degree of membership as a real number between zero and one. In the interval-valued fuzzy sets, the degree of membership represent the interval. Therefore, it is possible to solve the problem that the degree of membership for the fuzzy sets is uncertain. The L-R fuzzy numbers can be adjusted differently to the left-right slope of the membership functions. Therefore, we can represent more various fuzzy numbers. Level λ triangular fuzzy sets can adjust the magnitude of the degree of membership using λ. If λ = 1, it becomes level λ fuzzy numbers. In the level interval-valued fuzzy numbers it is possible to adjust the magnitude of the minimum degree of membership by using λ. The intuitionistic fuzzy sets can represent beliefs using a truth-membership function supporting evidence and a falsity-membership function contrary to evidence. In the level intuitionistic fuzzy sets used in this paper, it is possible to adjust the minimum degree of membership value of the falsity-membership function and the maximum degree of the truth-membership function by using λ and ρ, respectively. Therefore, it becomes possible to express various intuitive fuzzy sets.

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