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- Title
The distributivity of extended semi-t-operators over extended S-uninorms on fuzzy truth values.
- Authors
Yang, Bin; Li, Wei; Liu, Yuanhao; Xu, Jing
- Abstract
Inspired by the thought of distributivity between semi-t-operator and S-uninorm, this paper primarily explores the distributivity between extended semi-t-operator and extended S-uninorm on fuzzy truth value. First, Zadeh-extended semi-t-operator and S-uninorm are proposed on fuzzy truth value and some results of extended semi-t-operator are studied under special fuzzy truth values. Then, it concentrates on the sufficient condition about left and right distributivity of extended semi-t-operator over extended S-uninorm under the condition that semi-t-operator is left and right distributive over S-uninorm, respectively. Finally, when parameters satisfy different cases, sufficient conditions for the distributivity between extended semi-t-operator and extended S-uninorm are given under the condition that semi-t-operator satisfies distributivity or conditional distributivity over S-uninorm.
- Subjects
TRIANGULAR norms; FUZZY sets
- Publication
Soft Computing - A Fusion of Foundations, Methodologies & Applications, 2024, Vol 28, Issue 4, p2823
- ISSN
1432-7643
- Publication type
Article
- DOI
10.1007/s00500-023-09545-3