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Discrete bipolar universal integrals
- 1.0432224 - ÚTIA 2015 RIV NL eng J - Journal Article
Greco, S. - Mesiar, Radko - Rindone, F.
Discrete bipolar universal integrals.
Fuzzy Sets and Systems. Roč. 252, č. 1 (2014), s. 55-65. ISSN 0165-0114. E-ISSN 1872-6801
R&D Projects: GA ČR GAP402/11/0378
Institutional support: RVO:67985556
Keywords : bipolar integral * universal integral * Choquet integral
Subject RIV: BA - General Mathematics
Impact factor: 1.986, year: 2014
http://library.utia.cas.cz/separaty/2014/E/mesiar-0432224.pdf
The concept of universal integral, recently proposed, generalizes the Choquet, Shilkret and Sugeno integrals. Those integrals admit a discrete bipolar formulation, useful in those situations where the underlying scale is bipolar. In this paper we propose the concept of discrete bipolar universal integral, in order to provide a common framework for bipolar discrete integrals, including as special cases the discrete Choquet, Shilkret and Sugeno bipolar integrals. Moreover we provide two different axiomatic characterizations of the proposed discrete bipolar universal integral.
Permanent Link: http://hdl.handle.net/11104/0237114
Number of the records: 1