| Title of paper:
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On intuitionistic fuzzy numbers and compact intervals
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| Author(s):
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El Houssine Bouzid  0009-0008-1227-9519
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| Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technology, Sultan Moulay Slimane University, Beni Mellal, Morocco
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| elhoussine.bouzid@usms.ma
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| Bouchra Ben Amma 0000-0002-0663-3381
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| Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technology, Sultan Moulay Slimane University, Beni Mellal, Morocco
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| b.benamma@usms.ma
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| Said Melliani 0000-0002-5150-1185
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| Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technology, Sultan Moulay Slimane University, Beni Mellal, Morocco
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| s.melliani@usms.ma
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| Lalla Saadia Chadli 0000-0002-0659-8774
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| Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technology, Sultan Moulay Slimane University, Beni Mellal, Morocco
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| sa.chadli@yahoo.fr
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3, pages 203–212
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| DOI:
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https://doi.org/10.7546/nifs.2026.32.3.203-212
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| Download:
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 PDF (200 Kb, File info)
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| Abstract:
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In this paper, we investigate the relationship between intuitionistic fuzzy numbers and compact intervals. We give necessary and sufficient conditions for a family of intervals to define an intuitionistic fuzzy number. We also give a method for constructing non-linear intuitionistic fuzzy numbers. Our approach provides a new standpoint for understanding the structure of intuitionistic fuzzy numbers and offers a tool that may simplify further analysis in intuitionistic fuzzy calculus, particularly non-linear intuitionistic fuzzy integral and differential equations. Clarifying examples are also presented to illustrate the key findings.
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| Keywords:
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Intuitionistic fuzzy numbers, Real intervals, Membership function, Non-membership function.
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| AMS Classification:
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03E72, 28E10, 47H10.
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| References:
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