Jensen type inequality for the bipolar pseudo-integrals

Miloš Todorov, Mirjana Štrboja, E. Pap, Biljana Mihailović

Research output: Contribution to journalArticle

Abstract

The main purpose of this paper is to establish conditions under which the Jensen type inequality for the discrete bipolar pseudo-integral is valid. Besides, we extend investigations of the properties of the bipolar pseudo-integral. The observations concern the discrete bipolar pseudo-integrals based on the following three canonical cases of two binary symmetric operations: in the first case they are generated by an odd, strictly increasing and continuous function, in the remaining two cases a symmetric-addition is the symmetric maximum, while in the second case the corresponding pseudo-multiplication is a non-idempotent operation, and in the third case it is the symmetric minimum.

Original languageEnglish
JournalFuzzy Sets and Systems
DOIs
Publication statusPublished - Jan 1 2019

Fingerprint

Increasing Functions
Continuous Function
Multiplication
Strictly
Odd
Valid
Binary
Observation

Keywords

  • Bi-capacity
  • Bipolar pseudo-integral
  • Jensen-Steffensen's inequality
  • Symmetric pseudo-addition
  • Symmetric pseudo-multiplication

ASJC Scopus subject areas

  • Logic
  • Artificial Intelligence

Cite this

Jensen type inequality for the bipolar pseudo-integrals. / Todorov, Miloš; Štrboja, Mirjana; Pap, E.; Mihailović, Biljana.

In: Fuzzy Sets and Systems, 01.01.2019.

Research output: Contribution to journalArticle

Todorov, Miloš ; Štrboja, Mirjana ; Pap, E. ; Mihailović, Biljana. / Jensen type inequality for the bipolar pseudo-integrals. In: Fuzzy Sets and Systems. 2019.
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