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This paper demonstrated a novel fuzzy α-cut models of system reliability when the scale parameter of reliability distributions is a polygonal Interval-Valued Intuitionistic Fuzzy Number (IVIFN) under uncertain situation due to insufficient information and unclear judgement.
To generate accurate membership function and non-membership function, a shape dependent polygonal IVIFN is determined by various points of fuzzy number which represents the scale parameter of reliability distributions. A polygonal IVIFN includes pentagonal, hexagonal, heptagonal and octagonal IVIFNs.
Interval value for membership function and non-membership function is used for a refined representation of the experts’ opinions involving agreement, disagreement and indeterminant.
When finalizing a group decision making for the evaluation of system reliability, the α-cut using polygonal IVIFN is applied for the scale parameter and this assessment can be used to reflect experts’ judgment decisions. The models were presented for computing polygonal interval-valued intuitionistic fuzzy system reliability in both series structure and parallel structure. The numerical examples are presented to discuss the validity and the practicality of the proposed models.
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참고문헌 (57)
참고문헌 신청
Abbasi F. / 2019 / New Operations on Pseudo-Octagonal Fuzzy Numbers and Its Application / Soft Computing 23:9761~9776
Ajay M. / 2019 / Interval Type-2Pentagonal Fuzzy Number and Its Ranking / Journal of Applied Science and Computations 6(5):218~230
Annie M. S. / 2016 / Transportation Problem with Pentagonal Intuitionistic Fuzzy Numbers Solved Using Ranking Technique and Russell’s Method / International Journal of Engineering Research and Applications :82~86
Chakraborty A. / 2019 / The Pentagonal Fuzzy Number: Its Different Representations, Properties, Ranking, Defuzzification and Application in Game Problems / Symmetry 11(248)
Avishek Chakraborty / 2021 / Hexagonal fuzzy number and its distinctive representation, ranking, defuzzification technique and application in production inventory management problem / Granular Computing 6(3):507~521
Ajay M. / 2019 / Interval Type-2Pentagonal Fuzzy Number and Its Ranking / Journal of Applied Science and Computations 6(5):218~230
Annie M. S. / 2016 / Transportation Problem with Pentagonal Intuitionistic Fuzzy Numbers Solved Using Ranking Technique and Russell’s Method / International Journal of Engineering Research and Applications :82~86
Chakraborty A. / 2019 / The Pentagonal Fuzzy Number: Its Different Representations, Properties, Ranking, Defuzzification and Application in Game Problems / Symmetry 11(248)
Avishek Chakraborty / 2021 / Hexagonal fuzzy number and its distinctive representation, ranking, defuzzification technique and application in production inventory management problem / Granular Computing 6(3):507~521
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