Get Fuzzy Logic and Information Fusion: To commemorate the 70th PDF

By Tomasa Calvo Sánchez, Joan Torrens Sastre

ISBN-10: 3319304194

ISBN-13: 9783319304199

ISBN-10: 3319304216

ISBN-13: 9783319304212

This ebook deals a well timed record on key theories and purposes of soft-computing. Written in honour of Professor Gaspar Mayor on his seventieth birthday, it essentially makes a speciality of parts with regards to his learn, together with fuzzy binary operators, aggregation capabilities, multi-distances, and fuzzy consensus/decision versions. It additionally discusses a few fascinating purposes comparable to the implementation of fuzzy mathematical morphology in line with Mayor-Torrens t-norms. Importantly, the several chapters, authored via prime specialists, current novel effects and provide new views on assorted points of Mayor’s study. The publication additionally contains an outline of evolutionary fuzzy platforms, an issue that's not considered one of Mayor’s major parts of curiosity, and a last bankruptcy written through the Spanish pioneer in fuzzy common sense, Professor E. Trillas. computing device and choice scientists, wisdom engineers and mathematicians alike will locate right here an authoritative evaluate of key soft-computing thoughts and techniques.

Show description

Read or Download Fuzzy Logic and Information Fusion: To commemorate the 70th birthday of Professor Gaspar Mayor PDF

Best logic books

Download e-book for iPad: Solvable Cases of the Decision Problem by W., Ackerman

A tremendous exposition of the sessions of statements for which the choice challenge is solvable.

New PDF release: Gnomes in the Fog: The Reception of Brouwer’s Intuitionism

The importance of foundational debate in arithmetic that came about within the Nineteen Twenties turns out to were famous merely in circles of mathematicians and philosophers. A interval within the heritage of arithmetic whilst arithmetic and philosophy, frequently to date clear of one another, appeared to meet. The foundational debate is gifted with all its magnificent contributions and its shortcomings, its new rules and its misunderstandings.

Read e-book online Hilbert’s Programs and Beyond PDF

Hilbert's courses & past provides the foundational paintings of David Hilbert in a chain of thematically prepared essays. They first hint the roots of Hilbert's paintings to the unconventional transformation of arithmetic within the nineteenth century and produce out his pivotal position in growing mathematical good judgment and evidence idea.

Extra resources for Fuzzy Logic and Information Fusion: To commemorate the 70th birthday of Professor Gaspar Mayor

Sample text

As a particular case of a more general result of Aglianò and Montagna in [1], we recall a slightly different notion of ordinal sum for finite linearly-ordered Wajsberg hoops. Actually, a hoop is an algebra A = A, ∗, →, 1 such that A, ∗, 1 is a commutative monoid and for all x, y, z ∈ A the following equations hold: x → x = 1, x ∗ (x → y) = y ∗ (y → x), x → (y → z) = (x ∗ y) → z. A Wajsberg hoop is a hoop satisfying the equation: (x → y) → y = (y → x) → x. A bounded hoop is an algebra A = (A, ∗, →, 1, 0) such that A, ∗, →, 1 is a hoop and 0 ≤ x for all x ∈ A.

J. Frank, B. Schweizer, Problems on associative functions. Aequationes Math. 66, 128–140 (2003) 42. W. Trutschnig, On a strong metric on the space of copulas and its induced dependence measure. J. Math. Anal. Appl. 384, 690–705 (2011) 43. J. Fernández-Sánchez, W. Trutschnig, Conditioning-based metrics on the space of multivariate copulas and their interrelation with uniform and levelwise convergence and Iterated Function Systems. J. Theor. Probab. (2015). 1007/s10959-014-0541-4 44. P. D. Taylor, A remark on associative copulas.

Many of the definitions and theorems for bivariate copulas have analogous multivariate versions (see [1, 12]). 3 Associative Copulas: A Survey 35 The main problem in the theory of copulas is to determine which sets of (possible different dimensions) copulas are margins of a higher-dimensional copula. The associativity of n-copulas in the sense of Post (see [70]) is studied in [71]— solving an open problem posed in [72]. Specifically, if n ≥ 2 is a natural number and S is a nonempty set, an n-ary operation f : S n −→ S is associative on S if, for any 1 ≤ i < j ≤ n, the equality j−1 n+j−1 2n−1 = f x1 , f xj f x1i−1 , f xin+i−1 , xn+i 2n−1 , xn+j q holds for all x1 , .

Download PDF sample

Fuzzy Logic and Information Fusion: To commemorate the 70th birthday of Professor Gaspar Mayor by Tomasa Calvo Sánchez, Joan Torrens Sastre

by James

Rated 4.96 of 5 – based on 30 votes