INTEGRATION WITH RESPECT TO DECOMPOSABLE MEASURES, BASED ON A CONDITIONALLY DISTRIBUTIVE SEMIRING ON THE UNIT INTERVAL-Reference-Cited by-同舟云学术

INTEGRATION WITH RESPECT TO DECOMPOSABLE MEASURES, BASED ON A CONDITIONALLY DISTRIBUTIVE SEMIRING ON THE UNIT INTERVAL

Published:2000-12 Issue:06 Volume:08 Page:701-717
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

KLEMENT ERICH PETER¹,MESIAR RADKO²³,PAP ENDRE⁴

Affiliation:

1. Department of Algebra, Stochastics and Knowledge-Based Mathematical Systems, Johannes Kepler University, 4040 Linz, Austria

2. Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak Technical University, 81 368 Bratislava, Slovakia

3. Institute of the Theory of Information and Automation, Czech Academy of Sciences, Prague, Republic of Czech

4. Institute of Mathematics, University of Novi Sad, 21000 Novi Sad, Yugoslavia

Abstract

To cover almost all known Lebesgue type integrals constructed by means of pseudo-operations, the (S, U)-integral based on a t-conorm S, a uninorm (or t-norm) U and an S-measure (decomposable measure) is introduced and its properties are studied. Also its relationship to aggregation operators is discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218488500000514

Reference18 articles.

1. Theory of capacities

2. A CLASS OF FUZZY MEASURES BASED ON TRIANGULAR NORMS A general framework for the combination of uncertain information

3. Generalized measures

4. Triangular norm-based iterative compensatory operators

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