Read e-book online Decision Making and Optimization: Special Matrices and Their PDF

By Martin Gavalec

ISBN-10: 3319083228

ISBN-13: 9783319083223

ISBN-10: 3319083236

ISBN-13: 9783319083230

The ebook is a gain for graduate and postgraduate scholars within the components of operations study, determination thought, optimization concept, linear algebra, period research and fuzzy units. The booklet can also be invaluable for the researchers within the respective parts. the 1st a part of the e-book bargains with selection making difficulties and techniques which were proven to mix reviews approximately possible choices with regards to diversified issues of view. strategies in keeping with pairwise comparisons are completely investigated. within the moment half we examine optimization difficulties the place target features and constraints are characterised via extremal operators equivalent to greatest, minimal or a variety of triangular norms (t-norms). Matrices in max-min algebra are worthwhile in purposes comparable to automata idea, layout of switching circuits, good judgment of binary relatives, scientific analysis, Markov chains, social selection, types of firms, details structures, political structures and clustering. The enter facts in genuine difficulties aren't precise and will be characterised through period values.

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Extra resources for Decision Making and Optimization: Special Matrices and Their Applications in Economics and Management

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G. [24, 32, 38], or [17]. g. n > 10. Clearly, the problem of consistency itself includes two problems: when an expert, considered individually, is said to be consistent and, when the whole group of experts are considered consistent. In this section we will mainly focus on the first problem, assuming that experts’ preferences are expressed by means of a preference relation defined over a finite and fixed set of alternatives, expressed appropriately by a square matrix. e. an m-consistent matrix is m-reciprocal (however, not vice-versa).

G. [24, 32, 38], or [17]. g. n > 10. Clearly, the problem of consistency itself includes two problems: when an expert, considered individually, is said to be consistent and, when the whole group of experts are considered consistent. In this section we will mainly focus on the first problem, assuming that experts’ preferences are expressed by means of a preference relation defined over a finite and fixed set of alternatives, expressed appropriately by a square matrix. e. an m-consistent matrix is m-reciprocal (however, not vice-versa).

Natl. Acad. Sci. USA 28, 535–537 (1942) 10. : A survey of the representation of fuzzy concepts and its applications. , Yager, R. ) Advances in Fuzzy Sets Theorey and Applications, pp. 77–91. North Holland, Amsterdam (1979) L 11. : Inequality relation between fuzzy numbers and its use in fuzzy optimization. Fuzzy Sets Syst. 16, 123–138 (1985) 12. : Generalized Concavity in Optimization and Decision Making. , Boston-Dordrecht-London (2001) 13. : Extension principle in fuzzy optimization. Fuzzy Sets Syst.

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Decision Making and Optimization: Special Matrices and Their Applications in Economics and Management by Martin Gavalec


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