Ranking and Similarity Measures of Interval-Valued Pentagonal Fuzzy Numbers | Zendy

Ajay Minj | Zendy; T. Pathinathan | Zendy

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Ranking and Similarity Measures of Interval-Valued Pentagonal Fuzzy Numbers

Author(s) -

Ajay Minj,

T. Pathinathan

Publication year - 2019

Publication title -

international journal of recent technology and engineering (ijrte)

Language(s) - English

Resource type - Journals

ISSN - 2277-3878

DOI - 10.35940/ijrte.d9498.118419

Subject(s) - mathematics , fuzzy number , interval (graph theory) , fuzzy set , similarity (geometry) , fuzzy logic , signed distance function , discrete mathematics , combinatorics , algorithm , artificial intelligence , computer science , image (mathematics)

We define generalized interval-valued pentagonal fuzzy numbers. Based on the height of the lower and upper pentagonal fuzzy numbers we propose to categorize interval-valued pentagonal fuzzy numbers into three different categories. Using signed distance concept de-fuzzification of interval-valued pentagonal fuzzy numbers is proposed and mathematical formulas are derived using cut representations. We also introduce two similarity measures for interval-valued pentagonal fuzzy numbers based on geometric distance, area and height of pentagonal fuzzy numbers and geometric distance, perimeter and height of pentagonal fuzzy numbers respectively. Algorithms for finding de-fuzzification value and similarity measures are proposed with flow-chart illustration.

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