| Title of paper:
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Extension of Hukuhara difference in intuitionistic fuzzy set theory
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| Author(s):
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| Said Melliani
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| said.melliani@gmail.com
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| M'hamed Elomari
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| Lalla Saadia Chadli
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| Razika Ettoussi
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| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
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| Published in:
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"Notes on IFS", Volume 21, 2015, Number 4, pages 34–47
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| Download:
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 PDF (241 Kb, File info)
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| Abstract:
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We proposed to give a sense of Hukuhara's difference in intuitionistic fuzzy theory. First we give the concept of elementary intuitionistic fuzzy theory, precisely the complete metric
space (𝔽1, dp), the later helps us to make sense of the derivative of Hukuhara in the case intuitionistic.
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| Keywords:
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Hukuhara difference, Hukuhara derivative, Intuitionistic fuzzy number.
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| AMS Classification:
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03E72
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| References:
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- Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96.
- Atanassov K. (1999), Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Heidelberg.
- Diamond, P. & P. Kloeden (1994) Metric Spaces of Fuzzy Sets, World Scientific, Singapore.
- Hukuhara, M. (1967) Integration des applications measurables dont la valeur est un compact convexe, Funkciala Ekvacioj, 10, 205–223.
- Laksmikantham, V. & R. N. Mohapatra (2003) Theory of Fuzzy Differential Equations and Inclusions, Taylor & Francis, New York.
- Rodriguez-Muniz, L. J. & M. Lopez-Diaz (2003) Hukuhara derivative of the fuzzy expected value, Fuzzy Sets and Systems, 138, 593–600.
- Mahapatra, G. S. & T. K. Roy (2013) Intuitionistic Fuzzy Number and Its Arithmetic Operation with Application on System Failure, Journal of Uncertain Systems, 7(2), 92–107.
- Melliani, S., M. Elomari, L. S. Chadli & R. Ettoussi (2015) Intuitionistic fuzzy metric space, Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53.
- Stefanini, L. A. (2010) Generalization of Hukuhara difference and division for interval and fuzzy arithmetic, Fuzzy Sets and Systems, 161, 1564–1584.
- Zadeh, L. A. (1975) Concept of a linguistic variable and its application to approximate reasoning, I, Information Sciences, 8, 199–249.
- Zadeh, L. A. (1965) Fuzzy sets, Information and Control, 8, 338–353.
- Zadeh L. A. (1978) Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems, 1, 3–28.
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| Citations:
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