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  • In this contribution, we study a very important semantic property of generalized quantifiers called the monotonicity for fuzzy quantifiers of type <1, 1> defined using fuzzy measures and Sugeno type of fuzzy integrals. We show that fuzzy integrals can ensure under some natural conditions the monotonicity of fuzzy quantifiers. Finally, we propose the concept of concave fuzzy quantifiers and prove that each concave fuzzy quantifier is expressible as the conjunction of a non-increasing and a nondecreasing fuzzy quantifier.
  • In this contribution, we study a very important semantic property of generalized quantifiers called the monotonicity for fuzzy quantifiers of type <1, 1> defined using fuzzy measures and Sugeno type of fuzzy integrals. We show that fuzzy integrals can ensure under some natural conditions the monotonicity of fuzzy quantifiers. Finally, we propose the concept of concave fuzzy quantifiers and prove that each concave fuzzy quantifier is expressible as the conjunction of a non-increasing and a nondecreasing fuzzy quantifier. (en)
Title
  • On Monotonicity Of Type <1, 1> Fuzzy Quantifiers Determined By Fuzzy Measures
  • On Monotonicity Of Type <1, 1> Fuzzy Quantifiers Determined By Fuzzy Measures (en)
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  • On Monotonicity Of Type <1, 1> Fuzzy Quantifiers Determined By Fuzzy Measures
  • On Monotonicity Of Type <1, 1> Fuzzy Quantifiers Determined By Fuzzy Measures (en)
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  • RIV/61988987:17610/11:A12012TC!RIV12-AV0-17610___
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  • 218073
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  • RIV/61988987:17610/11:A12012TC
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  • fuzzy quantifier; fuzzy measure; residuated lattice operation; monotonicity of fuzzy quantifiers (en)
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  • [C175E02CFD13]
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  • Taipei, Taiwan
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  • Taiwan
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  • Proceedings of the 2011 IEEE International Conference on Fuzzy Systems
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  • Dvořák, Antonín
  • Holčapek, Michal
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  • DnE Taiwan
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  • 978-1-4244-7316-8
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  • 17610
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