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...This second book devoted on advances and applications of Dezert-Smarandache Theory (DSmT) for information fusion collects recent papers from different researchers working in engineering and mathematics. Part 1 of this book presents the current state-of-the-art on theoretical investigations while, Par...
...conflict redistribution rule stable in terms of decision 69 by Arnaud Martin and Christophe Osswald 2.1 Introduction . . . . . . . . . . . 69 2.2 Theory bases . . . . . . . . . . 70 2.2.1 Belief Function Models . . . . . . . . 70 2.2.2 Combination rules . . . . . . . . . 71 2.2.3 Decision rules . . . . . . . . . 72 2.3 The generalized PCR rules . . . . . . . . . 73...
...tion to DSmT 3 by J. Dezert and F. Smarandache 1.1 Introduction . . . . . . . . . . 4 1.2 Foundations of DSmT . . . . . . . . . 4 1.2.1 The power set, hyper-power set and super-power set . . 6 1.2.2 Notion of free and hybrid DSm models . . . . 18 1.2.3 Generalized belief functions . . . . . . 20 1.2.4 The classic DSm rule of combination . . . . . 21 1.2.5 The hybri...
...In The 2nd Conference on Combinatorics and Graph Theory of China (Aug. 16-19, 2006, Tianjing), I formally presented a combinatorial conjecture on mathematical sciences (abbreviated to CC Conjecture), i.e., a mathematical science can be reconstructed from or made by combinat...
...1.5 ENUMERATION TECHNIQUES 1.5.1 Enumeration Principle. The enumeration problem on a finite set is to count and find closed formula for elements in this set. A fundamental principle for solving this problem in general is on account of the enumeration principle: For finite sets X and Y , the equality |X| = |Y | holds...
...Chapter 1. Combinatorial Principle with Graphs . . . . . . . . . . 1 1.1 Multi-sets with operations. . . . . . . . . . . . . . . . . . . . .2 1.1.1 Set . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.2 Operation . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.3 Boolean algebra . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.1.4 Multi-Set . . . ...
... number-theoretic Smarandache problems and will enrich the already rich stock of results on them. Readers can learn various techniques used in number theory and will get familiar with the beautiful identities and sharp asymptotic formulas obtained in the volume....
...arandache and its integer solutions 82 X. Du : On the mean value of the Smarandache LCM function SL(n) 85 Q. Yang : On the generalized constructive set 91 G. Chen : Some exact calculating formulas for the Smarandache function 95 H. Liu : On the F.Smarandache simple function 98 Y. Liu and J. Ma : Some identities involving the k-th power complements 101 Y. Zhao : An eq...
...ization of Venn Diagram, by Florentin Smarandache.........84 ECONOMICS, BUSINESS, AND POLITICS.................87 10. Introduction to Poly-Emporium Theory in Economics, by V. Christianto, F. Smarandache, in Authors’ book Cultural Advantage for Cities. An Alternative for Developing Countries, InfoLearnQuest, Ann Arbor, 61 p., 2008............88 11. Global Totalitarianism...