Prenex normal form in linguistic quantifiers modeled by Sugeno integrals

Authors:
Wang San-min;Zhao Bin
Affiliations:
Department of Mathematics, Shaanxi Normal University, Xi'an 710062, PR China and Department of Computer Science, Nanchang University, Nanchang 330031, PR China;Department of Mathematics, Shaanxi Normal University, Xi'an 710062, PR China
Venue:
Fuzzy Sets and Systems
Year:
2008

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A survey on different triangular norm-based fuzzy logics

Fuzzy Sets and Systems - Special issue on analytical and structural considerations in fuzzy modeling
Linguistic quantifiers modeled by Sugeno integrals

Artificial Intelligence

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Abstract

In this paper, Ying's prenex normal form theorem for linguistic quantifiers is strengthened so that it behaves like the one in the classical logic. This result further shows elegant logical properties of Ying's framework.