The range of null-additive fuzzy and non-fuzzy measures

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

In this paper a wide class of non-additive set functions is investigated. For finite null-additive fuzzy and non-fuzzy measures Saks decomposition type theorem, theorem on Darboux property and Lyapunov's type theorems are proved.

Original languageEnglish
Pages (from-to)105-115
Number of pages11
JournalFuzzy Sets and Systems
Volume65
Issue number1
DOIs
Publication statusPublished - Jul 11 1994

Fingerprint

Null
Decomposition
Theorem
Range of data
Lyapunov
Decompose
Class

Keywords

  • Atom
  • Autocontinuous from above (below)
  • Exhaustive
  • Fuzzy measure
  • Null-additive

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

The range of null-additive fuzzy and non-fuzzy measures. / Pap, E.

In: Fuzzy Sets and Systems, Vol. 65, No. 1, 11.07.1994, p. 105-115.

Research output: Contribution to journalArticle

@article{6149e39edb13475ba0637fa780d12640,
title = "The range of null-additive fuzzy and non-fuzzy measures",
abstract = "In this paper a wide class of non-additive set functions is investigated. For finite null-additive fuzzy and non-fuzzy measures Saks decomposition type theorem, theorem on Darboux property and Lyapunov's type theorems are proved.",
keywords = "Atom, Autocontinuous from above (below), Exhaustive, Fuzzy measure, Null-additive",
author = "E. Pap",
year = "1994",
month = "7",
day = "11",
doi = "10.1016/0165-0114(94)90251-8",
language = "English",
volume = "65",
pages = "105--115",
journal = "Fuzzy Sets and Systems",
issn = "0165-0114",
publisher = "Elsevier",
number = "1",

}

TY - JOUR

T1 - The range of null-additive fuzzy and non-fuzzy measures

AU - Pap, E.

PY - 1994/7/11

Y1 - 1994/7/11

N2 - In this paper a wide class of non-additive set functions is investigated. For finite null-additive fuzzy and non-fuzzy measures Saks decomposition type theorem, theorem on Darboux property and Lyapunov's type theorems are proved.

AB - In this paper a wide class of non-additive set functions is investigated. For finite null-additive fuzzy and non-fuzzy measures Saks decomposition type theorem, theorem on Darboux property and Lyapunov's type theorems are proved.

KW - Atom

KW - Autocontinuous from above (below)

KW - Exhaustive

KW - Fuzzy measure

KW - Null-additive

UR - http://www.scopus.com/inward/record.url?scp=0039295213&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039295213&partnerID=8YFLogxK

U2 - 10.1016/0165-0114(94)90251-8

DO - 10.1016/0165-0114(94)90251-8

M3 - Article

VL - 65

SP - 105

EP - 115

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

SN - 0165-0114

IS - 1

ER -