On the level-continuity of fuzzy integrals

H. Román-Flores; A. Flores-Franulič; R. C. Bassanezi; M. Rojas-Medar

doi:10.1016/0165-0114(96)88180-2

On the level-continuity of fuzzy integrals

H. Román-Flores
, A. Flores-Franulič
, R. C. Bassanezi
, M. Rojas-Medar

Universidad de Tarapacá
Universidade Estadual de Campinas

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

In this paper we define the level-convergence of measurable functions on a fuzzy measure space, by using the closure operator in the Moore sense. We study some of the properties of this convergence and give conditions for the continuity of the fuzzy integral in relation to the level-convergence.

Original language	English
Pages (from-to)	339-344
Number of pages	6
Journal	Fuzzy Sets and Systems
Volume	80
Issue number	3
DOIs	https://doi.org/10.1016/0165-0114(96)88180-2
State	Published - 1996
Externally published	Yes

Keywords

Fuzzy integration
Fuzzy measure
Generalized measure theory
Levelwise-convergence

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10.1016/0165-0114(96)88180-2

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title = "On the level-continuity of fuzzy integrals",

abstract = "In this paper we define the level-convergence of measurable functions on a fuzzy measure space, by using the closure operator in the Moore sense. We study some of the properties of this convergence and give conditions for the continuity of the fuzzy integral in relation to the level-convergence.",

keywords = "Fuzzy integration, Fuzzy measure, Generalized measure theory, Levelwise-convergence",

author = "H. Rom{\'a}n-Flores and A. Flores-Franuli{\v c} and Bassanezi, \{R. C.\} and M. Rojas-Medar",

year = "1996",

doi = "10.1016/0165-0114(96)88180-2",

language = "English",

volume = "80",

pages = "339--344",

journal = "Fuzzy Sets and Systems",

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T1 - On the level-continuity of fuzzy integrals

AU - Román-Flores, H.

AU - Flores-Franulič, A.

AU - Bassanezi, R. C.

AU - Rojas-Medar, M.

PY - 1996

Y1 - 1996

N2 - In this paper we define the level-convergence of measurable functions on a fuzzy measure space, by using the closure operator in the Moore sense. We study some of the properties of this convergence and give conditions for the continuity of the fuzzy integral in relation to the level-convergence.

AB - In this paper we define the level-convergence of measurable functions on a fuzzy measure space, by using the closure operator in the Moore sense. We study some of the properties of this convergence and give conditions for the continuity of the fuzzy integral in relation to the level-convergence.

KW - Fuzzy integration

KW - Fuzzy measure

KW - Generalized measure theory

KW - Levelwise-convergence

UR - https://www.scopus.com/pages/publications/0347277848

U2 - 10.1016/0165-0114(96)88180-2

DO - 10.1016/0165-0114(96)88180-2

M3 - Article

AN - SCOPUS:0347277848

SN - 0165-0114

VL - 80

SP - 339

EP - 344

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 3

ER -

On the level-continuity of fuzzy integrals

Abstract

Keywords

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