Advances in Computational Intelligence: 14th International by Doretta Vivona, Maria Divari (auth.), Salvatore Greco,

By Doretta Vivona, Maria Divari (auth.), Salvatore Greco, Bernadette Bouchon-Meunier, Giulianella Coletti, Mario Fedrizzi, Benedetto Matarazzo, Ronald R. Yager (eds.)

These 4 volumes (CCIS 297, 298, 299, three hundred) represent the complaints of the 14th foreign convention on details Processing and administration of Uncertainty in Knowledge-Based platforms, IPMU 2012, held in Catania, Italy, in July 2012. The 258 revised complete papers awarded including six invited talks have been rigorously reviewed and chosen from a variety of submissions. The papers are prepared in topical sections on fuzzy computer studying and online modeling; computing with phrases and choice making; tender computing in laptop imaginative and prescient; tough units and complicated info research: idea and functions; clever databases and knowledge process; details fusion platforms; philosophical and methodological features of sentimental computing; simple concerns in tough units; fortieth anniversary of the measures of fuziness; SPS11 uncertainty in profiling structures and purposes; dealing with uncertainty with copulas; formal easy methods to take care of uncertainty of many-valued occasions; linguistic summarization and outline of information; fuzzy implications: concept and purposes; sensing and information mining for educating and studying; idea and purposes of intuitionistic fuzzy units; approximate points of knowledge mining and database analytics; fuzzy numbers and their purposes; details processing and administration of uncertainty in knowledge-based platforms; aggregation features; obscure possibilities; probabilistic graphical versions with imprecision: concept and purposes; trust functionality thought: fundamentals and/or functions; fuzzy uncertainty in economics and enterprise; new developments in De Finetti's method; fuzzy measures and integrals; multicriteria determination making; uncertainty in privateness and safety; uncertainty within the spirit of Pietro Benvenuti; coopetition; video game thought; probabilistic approach.

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Extra info for Advances in Computational Intelligence: 14th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2012, Catania, Italy, July 9-13, 2012. Proceedings, Part II

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1. Fuzzy sets with maximal fuzziness on X = {x1 , . . , the Shannon’s functional applied to the mass assignment mμ . Some properties we showed in [1] are: – Ent(μ) = 0 iff μ is a crisp set (P1). – Ent(μ) = Ent(μ ) when using the standard negation (P4). – Let us define fuzzy sets μ1 , . . , μn as follows: μi (xj ) = μ(xj ) iff i = j, and 0 otherwise. Then μ = 1≤i≤n μi , μi ∩ μj = ∅ ∀i = j, and Ent(μi ) d(μ) = (1) 1≤i≤n where d(μ) is the entropy of μ as introduced by De Luca and Termini in [2]. This result is coherent with our previous discussion about axiom P2 as considering a collection of independent fuzzy sets when calculating entropy, instead of a single fuzzy set.

It is also clear that μϕ −1 (1/2) is the maximum, and that the crisp sets are the minimals in that poset. Nevertheless, and although it seems intuitively clear it is an open problem 20 E. Trillas and D. S´anchez to prove whether ≤S is, or it is not, the only poset in [0, 1]X having those minimals and maximum. The following functions E : [0, 1]X → R+ are some of the most known measures of fuzziness verifying axioms 1, 2, and 4 with ≤F =≤S : – E1 ( μ ) = E1∗ (μ ) = – E2 ( μ ) = E2∗ (μ ) = 1 ϕ −1 (1/2) · Sup min(μ (x), Nϕ (μ (x))).

Section 5 reviews other possible constituents of wisdom, apart from intelligence. We finish by a reflection on how wisdom might get ascertainable in a mathematical way and what challenges are to defeat along the way. 2 Review of Wisdom Theories The psychologist Robert Sternberg lists three approaches to understanding wisdom, philosophical, implicit-theoretical and explicit-theoretical approaches [4,5]. Philosophical approaches. Very early analysis of the concept of wisdom can be found in the Platonic dialogues.

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