The Criteria for Ensuring the Bimigrativity of Nullnorms and Semi $t$-Operators Over Overlap Functions

This paper extends previous research on uninorm bimigrativity over overlap functions and further explores the bimigrativity of nullnorms and semi <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$t$</tex>-operators over specified overlap functions. We introduce a new concept of (<tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\chi, \gamma$</tex>) - bimigrativity for these operators and provide equivalent characterizations of the relevant equations. Our results enrich theory and have potential applications within domains like fuzzy logic, decision-making, as well as image processing, where handling overlapping information matters.