| Title of paper:
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A theorem for constructing interval-valued intuitionistic fuzzy sets from intuitionistic fuzzy sets
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| Author(s):
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| Humberto Bustince
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| Departmento de Matematica en Informatica, Universidad Publica de Navarra, 31006, Campus Arrosadia, Pamplona, Spain
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| bustince@si.upna.es
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| Pedro Burillo
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| Departmento de Matematica en Informatica, Universidad Publica de Navarra, 31006, Campus Arrosadia, Pamplona, Spain
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 1 (1995) Number 1, pages 5—16
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| Download:
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 PDF (505 Kb, File info)
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| Abstract:
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In this paper we present a theorem that allows us to construct interval-valued intuitionistic fuzzy sets from intuitionistic fuzzy sets. We also study the way of recovering of intuitionistic fuzzy sets used in the construction of interval-valued intuitionistic fuzzy set from different operators. We analyse the numerical measures of information of the interval-valued intuitionistic fuzzy set constructed in function with the numerical measures of information of the intuitionistic fuzzy sets used in its construction. We review the most important properties of intuitionistic fuzzy sets and of interval-valued intuitionistic fuzzy sets and we analyse three operators among these sets with their properties.
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| Keywords:
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Fuzzy set, Intuitionistic fuzzy set, Interval-valued intuitionistic fuzzy set, Intuitionistic entropy, Interval-valued intuitionistic entropy, Operators on interval-valued intuitionistic entropy
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| References:
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