Note on Aggregation Functions and Concept Forming Operators
A certain connection between the theory of aggregation functions and the theory of concept lattices is discussed. We describe a generalization of residuated mappings, convenient for creating a monotone analogue of antitone concept lattices. Examples of such mappings are also presented.
KeywordsResiduated mappings Concept lattice Closure operator Interior operator Formal Concept Analysis
The first author was supported by the Slovak Research and Development Agency under the contract no. APVV-16-0213. The second author was supported by the project of Grant Agency of the Czech Republic (GAČR) no. 18-06915S and by the Slovak Research and Development Agency under the contract no. APVV-16-0073. The third author was supported by the Slovak VEGA Grant 1/0365/19.
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