JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (5): 55-70.doi: 10.6040/j.issn.1671-9352.0.2019.460

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Modularity equations between a class of S-uninorms and several commonly-used aggregation operators

ZHAO Wei-li, ZHOU Hong-jun*   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xian 710119, Shaanxi, China
  • Published:2020-05-06

Abstract: Based on the fuzzy logic theory and fuzzy decision, the present paper focuses on the modularity equations between one class of S-uninorms and several aggregation operators such as uninorms, t-operators, S-uninorms and T-uninorms, and gives structural characterizations of these aggregation operators satisfying modularity equations. Moreover, the structural characterizations between T-uninorms and S-uninorms satisfying the modularity equations partially generalize the structural characterizations of 2-uninorms.

Key words: modularity equation, S-uninorm, T-uninorm, t-operator, uninorm

CLC Number: 

  • O142
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