On some properties of seminormed fuzzy integrals
Micha{\l} Boczek, Marek Kaluszka
TL;DR
This paper addresses specific open problems related to properties of seminormed fuzzy integrals, providing solutions and advancing the theoretical understanding of these mathematical constructs.
Contribution
The paper offers solutions to three previously posed open problems concerning seminormed fuzzy integrals, contributing new theoretical insights.
Findings
Resolved Problems 2.21, 2.31, and 2.32 from prior literature
Enhanced understanding of seminormed fuzzy integrals' properties
Contributed to the theoretical foundation of semicopula-based integrals
Abstract
We give solutions to Problems 2.21, 2.31 and 2.32, which were posed Borzow\'a-Moln\'arov\'a, Hal\v{c}inov\'a and Hutn\'ik in [{\it The smallest semicopula-based universal integrals I: properties and characterizations,} Fuzzy Sets and Systems (2014), http://dx.doi.org/ 10.1016/j.fss. 2014.09.0232014].
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Taxonomy
TopicsFuzzy Systems and Optimization · Fixed Point Theorems Analysis · Multi-Criteria Decision Making