Decompositions of supermodular functions and □-decomposable measures

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We consider supermodular functions and □-decomposable measures defined on σ-complete lattice and with values in σ-complete lattice ordered semigroup. For such supermodular functions and □-decomposable measures on lattice with relative complement Hewitt-Yosida decomposition type theorem and Lebesgue decomposition theorem are proved.

Original languageEnglish
Pages (from-to)71-83
Number of pages13
JournalFuzzy Sets and Systems
Volume65
Issue number1
DOIs
Publication statusPublished - Jul 11 1994

Fingerprint

Complete Lattice
Decomposable
Decomposition
Ordered Semigroup
Decompose
Decomposition Theorem
Henri Léon Lebésgue
Complement
Theorem

Keywords

  • Absolutely continuous
  • Generalized measure
  • Lattice ordered semigroup
  • singular function
  • Supermodular function
  • σ-complete lattice
  • □-decomposable measure

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Science Applications
  • Computer Vision and Pattern Recognition
  • Information Systems and Management
  • Statistics, Probability and Uncertainty
  • Electrical and Electronic Engineering
  • Statistics and Probability

Cite this

Decompositions of supermodular functions and □-decomposable measures. / Pap, E.

In: Fuzzy Sets and Systems, Vol. 65, No. 1, 11.07.1994, p. 71-83.

Research output: Contribution to journalArticle

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