By Zhenyuan Wang, George J. Klir (auth.)

ISBN-10: 0387768513

ISBN-13: 9780387768519

This accomplished textual content examines the really new mathematical zone of generalized degree conception. This sector expands classical degree idea through forsaking the requirement of additivity and exchanging it with numerous weaker necessities. each one of those weaker specifications characterizes a category of nonadditive measures. This leads to new ideas and strategies that permit us to accommodate many difficulties in a extra sensible method. for instance, it permits us to paintings with obscure probabilities.

The exposition of generalized degree thought unfolds systematically. It starts off with preliminaries and new options, by means of an in depth remedy of vital new effects relating to a variety of varieties of nonadditive measures and the linked integration conception. The latter comprises various kinds of integrals: Sugeno integrals, Choquet integrals, pan-integrals, and decrease and top integrals. all the themes are influenced through a variety of examples, culminating in a last bankruptcy on purposes of generalized degree theory.

Some key good points of the ebook comprise: many routines on the finish of every bankruptcy in addition to appropriate historic and bibliographical notes, an intensive bibliography, and identify and topic indices. The paintings is acceptable for a school room atmosphere on the graduate point in classes or seminars in utilized arithmetic, computing device technological know-how, engineering, and a few components of technological know-how. a valid history in mathematical research is needed. because the publication includes many unique effects through the authors, it's going to additionally attract researchers operating within the rising sector of generalized degree theory.

About the Authors:

**Zhenyuan Wang** is presently a Professor within the division of arithmetic of college of Nebraska at Omaha. His study pursuits were within the parts of nonadditive measures, nonlinear integrals, likelihood and data, and information mining. He has released one e-book and plenty of papers in those areas.

**George J. Klir is at present a exotic Professor of structures technological know-how at Binghamton collage (SUNY at Binghamton). He has released 29 books and good over three hundred papers in quite a lot of parts. His present study pursuits are essentially within the components of fuzzy structures, smooth computing, and generalized info theory.**

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