
Triangular Norm-Based Measures and Games with Fuzzy Coalitions
Kluwer Academic Publishers
Published on 30. September 1993
Book
Hardback
X, 202 pages
978-0-7923-2369-3 (ISBN)
Description
This book aims to present, in a unified approach, a series of mathematical results con cerning triangular norm-based measures and a class of cooperative games with Juzzy coalitions. Our approach intends to emphasize that triangular norm-based measures are powerful tools in exploring the coalitional behaviour in 'such games. They not and simplify some technical aspects of the already classical axiomatic the only unify ory of Aumann-Shapley values, but also provide new perspectives and insights into these results. Moreover, this machinery allows us to obtain, in the game theoretical context, new and heuristically meaningful information, which has a significant impact on balancedness and equilibria analysis in a cooperative environment. From a formal point of view, triangular norm-based measures are valuations on subsets of a unit cube [0, 1]X which preserve dual binary operations induced by trian gular norms on the unit interval [0, 1]. Triangular norms (and their dual conorms) are algebraic operations on [0,1] which were suggested by MENGER [1942] and which proved to be useful in the theory of probabilistic metric spaces (see also [WALD 1943]). The idea of a triangular norm-based measure was implicitly used under various names: vector integrals [DVORETZKY, WALD & WOLFOWITZ 1951], prob abilities oj Juzzy events [ZADEH 1968], and measures on ideal sets [AUMANN & SHAPLEY 1974, p. 152].
More details
Series
Edition
1993 ed.
Language
English
Place of publication
Dordrecht
Netherlands
Target group
College/higher education
Professional and scholarly
Research
Product notice
sewn/stitched
Cloth over boards
Illustrations
X, 202 p.
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 13 mm
Weight
476 gr
ISBN-13
978-0-7923-2369-3 (9780792323693)
DOI
10.1007/978-94-017-3602-2
Schweitzer Classification
Other editions
Additional editions

D. Butnariu | Erich Peter Klement
Triangular Norm-Based Measures and Games with Fuzzy Coalitions
E-Book
03/2013
Springer
€96.29
Available for download

D. Butnariu | Erich Peter Klement
Triangular Norm-Based Measures and Games with Fuzzy Coalitions
Book
12/2010
Springer
€106.99
Shipment within 15-20 days
Content
I Triangular Norm-Based Tribes.- II Triangular Norm-Based Measures.- III T?-Measures.- IV Games with Fuzzy Coalitions.- V Extensions of the Diagonal Value.- VI Related Topics and Applications.