Open AccessRanking 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
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 , fuzzy logic , similarity (geometry) , 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.