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Liapunov‐type inequality for universal integral
Author(s) -
Agahi Hamzeh,
Mohammadpour Adel,
Mesiar Radko,
Vaezpour S. Mansour
Publication year - 2012
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.21553
Subject(s) - choquet integral , lemma (botany) , mathematics , inequality , type (biology) , daniell integral , nonlinear system , calculus (dental) , mathematical economics , algebra over a field , integral equation , pure mathematics , computer science , singular integral , mathematical analysis , fuzzy logic , artificial intelligence , ecology , medicine , physics , poaceae , dentistry , quantum mechanics , biology
The Choquet integral and the Sugeno integral provide a useful tool in many problems in engineering and social choice where the aggregation of data is required. In this paper, previous results of Hong ( Nonlinear Analysis 2011 74:7296–7303) are improved by relaxing some of their requirements. Carlson's, Sandor's, Bushell–Okrasinski's type inequalities and Fatou's lemma for universal integral are studied in a rather general form, thus generalizing some recent results. © 2012 Wiley Periodicals, Inc.