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research-article

Generalized aggregation of fuzzy truth values

Published: 10 December 2015 Publication History

Abstract

We study generalized extended aggregation operations.We further discuss the equivalent expressions of partial orders and .The generalized extended aggregation operation is proven to be an FTV aggregation op- eration. This paper deals with generalized extended aggregation operations in accordance with generalized extension principle and provides a theoretical basis for generalized extended aggregation operations. Generalized extended aggregation operations are studied on the algebra of convex (resp. normal) fuzzy truth values. When an aggregation operation is continuous, the generalized extended aggregation operation is proven to be an aggregation operation on fuzzy truth values (FTV aggregation operation, for short) for arbitrary t-norm on the algebra of convex normal fuzzy truth values.

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Cited By

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  • (2020)General L-fuzzy aggregation functions based on complete residuated latticesSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-019-04642-824:5(3087-3112)Online publication date: 13-Jan-2020

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Published In

cover image Information Sciences: an International Journal
Information Sciences: an International Journal  Volume 324, Issue C
December 2015
310 pages

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Elsevier Science Inc.

United States

Publication History

Published: 10 December 2015

Author Tags

  1. Aggregation operations
  2. FTV aggregation operations
  3. Fuzzy truth values
  4. Generalized extended aggregation operations

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  • (2020)General L-fuzzy aggregation functions based on complete residuated latticesSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-019-04642-824:5(3087-3112)Online publication date: 13-Jan-2020

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