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Reliability Analysis of Fuzzy Systems Based on Pythagorean Fuzzy Sets

  • Journal of Knowledge Information Technology and Systems
  • Abbr : JKITS
  • 2019, 14(4), pp.319-326
  • DOI : 10.34163/jkits.2019.14.4.001
  • Publisher : Korea Knowledge Information Technology Society
  • Research Area : Interdisciplinary Studies > Interdisciplinary Research
  • Received : May 31, 2019
  • Accepted : August 9, 2019
  • Published : August 31, 2019

Cho, Sang Yeop 1

1청운대학교

Accredited

ABSTRACT

Reliability models play an important role when we design the engineering systems. In conventional reliability model we attempts to describe the values for the reliability of the systems with accurateness. But in real world it is often difficult to get the these exact values. To overcome these problem the fuzzy set theory is used in the reliability model for engineering systems. In the fuzzy sets, the reliability is represented by a real number as the degree of membership of the fuzzy set. ∈ . In the interval valued fuzzy sets, the reliability is described by an interval as the degree of membership of the interval valued fuzzy sets. 0 ≤ ≤ ≤ 1, ⊆ . In the intuitionistic fuzzy sets to express the belief in a belief systems, the reliability is represented by the degree of true membership and degree of falsity membership . , ∈ , 0 ≤ + ≤ 1. In the neurotrophic sets that can represent indeterminacy the reliability is represented as a true membership value , an indeterminacy membership value , and a false membership value . In the multicriteria decision making, the decision maker may or may not provide a degree of satisfying the criteria . In this case, the preference for can be 0 ≤ ≰ 1, which is difficult to process with the conventional fuzzy sets. In this paper, we propose a method to evaluate the reliability of decision making system using Pythagorean fuzzy sets which can be used to solve this problem.

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