REPRESENTATION OF CHOQUET INTEGRAL — INTERPRETER AND MÖBIUS TRANSFORM-Reference-Cited by-同舟云学术

REPRESENTATION OF CHOQUET INTEGRAL — INTERPRETER AND MÖBIUS TRANSFORM

Published:2006-10 Issue:05 Volume:14 Page:579-589
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:

NARUKAWA YASUO¹,MUROFUSHI TOSHIAKI²

Affiliation:

1. Toho Gakuen, 3-1-10 Naka, Kunitachi, Tokyo, 186-0004, Japan

2. Department of Camp. Intell. & Syst. Sci., Tokyo Institute of Technology, 4259 Nagatsuta, Midoriku, Yokohama 226-8502, Japan

Abstract

Some theorems concerning representation of fuzzy measure and the Choquet integral are shown independently by Murofushi and Sugeno (J. Math. Anal. Appl. 159, No 2, (1991), 532-549) and by Denneberg (Fuzzy sets and Systems, 92, (1997), 139-156). Using the mediator for representations, it is shown that the theorems are partially equivalent. The difference between them are also stated with some examples.

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/S0218488506004205

Reference14 articles.

1. Theory of capacities

2. Non-Additive Measure and Integral

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5. Additive representations of non-additive measures and the choquet integral

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