JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (2): 106-114.doi: 10.6040/j.issn.1671-9352.0.2024.375

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Migrativity of general grouping(overlap)functions over t-norms and t-conorms

YAN Xinxin, ZHOU Hongjun*   

  1. School of Mathematics and Statistics, Shaanxi Normal University, Xian 710119, Shaanxi, China
  • Published:2026-02-13

Abstract: The migrativity of aggregation functions plays a pivotal role in various applications, including decision making and image processing. In this paper, we take general grouping functions and general overlap functions, which possess non-trivial neutral elements, the aim is to study the migrativity of these functions over t-norm and t-conorms, and to provide the structures of general grouping functions and general overlap functions that satisfy such migrative functional equations.

Key words: general grouping function, general overlap function, t-norm, t-conorm, migrativity

CLC Number: 

  • O159
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