Fuzzy System Reliability Using Fuzzy Lifetime Distribution Emphasizing Octagonal Intuitionistic Fuzzy Numbers

Abstract

The present study proposes to determine the fuzzy reliability of different systems in which the lifetime of components are following fuzzy exponential distribution where fuzzy reliability function and its α-cut set are presented. The fuzzy reliability of different systems is defined on the basis of octagonal intuitionistic fuzzy numbers. The fuzzy reliability functions of k-out-of-m system, series system, parallel systems, and their fuzzy mean time to failure are discussed respectively using the concept of α-cut of octagonal intuitionistic fuzzy numbers. Finally, some numerical examples are discussed to illustrate how to calculate the fuzzy system reliability and α-cut of fuzzy mean time to failure (FMTTF).

Distinctive representations of icosagonal fuzzy numbers along with novel defuzzification techniques for solving fuzzy assignment problems

“…Step 3: Then, the defuzzification of each fuzzy cell of Step 4: Using the Hungarian approach, we get the optimal allocation for an assignment problem for panels P 1 and P 2 are depicted in table 7, table 8 and table 9. Step 5: Thus, the optimal assignment for participants A, B and C for the specific jobs in the panel P 1 is given by: A → 3, B → 1 and C → 2 with the minimum total fuzzy parameters (3,4,6,9,12,14,19,21,24,26,29,30,32,34,35,37,40,41,44,47) and the optimal assignment for participants A, B and C for the specific jobs in the panel P 2 is given by: A → 1, B → 3 and C → 2 with the minimum total fuzzy parameters (5,9,10,11,13,14,17,19,22,22,25,26,29,31,33,35,35,36,37,38).…”

“…[27] introduced octagonal fuzzy number using which they develop a new model to solve the general fuzzy transportation problem. Thereafter, [25] evaluated the system reliability using fuzzy lifetime distribution emphasising hexagonal fuzzy number. When experts lack a clear idea and sufficient facts, they may use ambiguous language like "about", "just about", "roughly", "in the area of", "almost", "around", "more or less" and so on to express their opinions in decision making problems.…”