Sugeno integral based on absolutely monotone real set functions

Biljana Mihailović, E. Pap

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The class of all absolutely monotone and sign stable set functions with m(∅)=0, denoted by AMSS, is introduced. Necessary and sufficient conditions are obtained for a set function m, m(∅)=0, to be a member of AMSS. A Sugeno type integral of an A- measurable real-valued function is defined with respect to an absolutely monotone and sign stable set function and some of its properties are shown. A representation of a comonotone-cosigned -additive functional by Sugeno integral based on m∈AMSS is obtained.

Original languageEnglish
Pages (from-to)2857-2869
Number of pages13
JournalFuzzy Sets and Systems
Volume161
Issue number22
DOIs
Publication statusPublished - Nov 16 2010

Fingerprint

Sugeno Integral
Monotone
Stable Set
Additive Functional
M-function
Necessary Conditions
Sufficient Conditions

Keywords

  • Absolutely monotone set function
  • Sign stable set function
  • Sugeno integral
  • Symmetric Sugeno integral

ASJC Scopus subject areas

  • Artificial Intelligence
  • Logic

Cite this

Sugeno integral based on absolutely monotone real set functions. / Mihailović, Biljana; Pap, E.

In: Fuzzy Sets and Systems, Vol. 161, No. 22, 16.11.2010, p. 2857-2869.

Research output: Contribution to journalArticle

Mihailović, Biljana ; Pap, E. / Sugeno integral based on absolutely monotone real set functions. In: Fuzzy Sets and Systems. 2010 ; Vol. 161, No. 22. pp. 2857-2869.
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