| Title of paper:
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On intuitionistic fuzzy implications
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| Author(s):
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| I. Bakhadach
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal Morocco
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| Said Melliani
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal Morocco
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| said.melliani@gmail.com
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| Lalla Saadia Chadli
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal Morocco
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| Published in:
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"Notes on IFS", Volume 23, 2017, Number 5, pages 7—19
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| Download:
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 PDF (247 Kb Kb, File info)
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| Abstract:
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In this paper we conduct a systematic algebraic study on the set I of all intuitionistic fuzzy implications. To this end, we propose a binary operation, denoted by ✱, which makes a (I, ✱) a monoid. We determine the largest subgroup K of this monoid and using its representation define a group action of K that partitions I into equivalence classes. Also we give novel way of generating newer fuzzy implications from given ones by a bijective transformations.
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| Keywords:
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Intuitionistic fuzzy implication, Group action, Bijective transformation.
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| AMS Classification:
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03E72.
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| References:
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| Citations:
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