Jacques Lesourne (auth.), Denis Bouyssou, Eric's Aiding Decisions with Multiple Criteria: Essays in Honor of PDF

By Jacques Lesourne (auth.), Denis Bouyssou, Eric Jacquet-Lagrèze, Patrice Perny, Roman Słowiński, Daniel Vanderpooten, Philippe Vincke (eds.)

ISBN-10: 1461352665

ISBN-13: 9781461352662

ISBN-10: 1461508436

ISBN-13: 9781461508434

Aiding judgements With a number of standards: Essays in Honor of BernardRoy is geared up round large subject matters:

  • Graph conception with path-breaking contributions at the idea of flows in networks and venture scheduling,
  • a number of standards determination assisting with the discovery of the family members of ELECTRE tools and methodological contribution to decision-aiding which result in the construction of Multi-Criteria choice research (MCDA). Professor Bernard Roy has had huge impact at the improvement of those vast parts. £/LIST£ half one includes papers by means of Jacques Lesourne, and Dominique de Werra & Pierre Hansen with regards to the early occupation of Bernard Roy while he built many new strategies and ideas in Graph idea in an effort to focus on advanced real-world difficulties. half of the booklet is dedicated to Philosophy and Epistemology of Decision-Aiding with contributions from Valerie Belton & Jacques Pictet and Jean-Luis Genard & Marc Pirlot. half 3 comprises contributions in accordance with thought and technique of Multi-Criteria Decision-Aiding in response to a basic framework for conjoint dimension that enables intrasitive personal tastes. Denis Bouyssou & Marc Pirlot; Alexis Tsouki� s, Patrice Perny & Philippe Vincke; Luis Dias & João Clímaco; Daniel Vanderpooten; Michael Doumpos & Constantin Zopounidis; and Marc Roubens supply a substantial diversity of examinations of this point of MCDA. half 4 is dedicated to Perference Modeling with contributions from Peter Fishburn; Salvatore Greco, Benedetto Matarazzo & Roman Slowinski; Salem Benferhat, Didier Dubois & Henri Prade; Oscar Franzese & Mark McCord; Bertrand Munier; and Raymond Bisdorff. half 5 teams functions of Multi-Criteria Decision-Aiding, and Carlos Henggeler Antunes, Carla Oliveira & João Clímaco; Carlos Bana e Costa, Manuel da Costa-Lobo, Isabel Ramos & Jean-Claude Vansnick; Yannis Siskos & Evangelos Grigoroudis; Jean-Pierre Brans, Pierre Kunsch & Bertrand Mareschal provide a large choice of software difficulties. ultimately, half six contains contributions on Multi-Objective Mathematical Programming from Jacques Teghem, Walter Habenicht and Pekka Korhonen.
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    2:71-85. Rote, G. (1985). A systolic array algorithm for the algebraic path problem (shortest paths; matrix inversion). Computing 34:191-219. Roy, B. (1958). Sur quelques proprietes des graphes fortement connexes. C. R. Acad. Sci. Paris 247:399-401. 42 AIDING DECISIONS WITH MULTIPLE CRITERIA Roy, B. (1959a). Contribution de la theorie des graphes al'etude de certains problemes lineaires. C. R. Acad. Sci. Paris 248:2437-2439. Roy, B. (1959b). Transitivite et connexite. C. R. Acad. Sci. Paris 249:216-218.

    Res. Develop. 16:412-414. C. (1967). Revised matrix algorithms for shortest paths. SIAM J. Appl. Math. 15:207-218. J. (1976). The structure of Sperner k-families. J. Combin. Theory A 20:41-68. T. (1989). An algorithm for transitive reduction of an acyclic graph. Sci. Comput. Programming 12:151-155. , and Larman, D. (1979). Use of Floyd's algorithm to find shortest restricted paths. Ann. of Discrete Math. 4:237-249. W. (1967). The extension of the cascade algorithm to large graphs. Manag. Sci. 14:29-33.

    A k-coloring of G. (b) For any vertex x in 8 h+ 1 , the chromatic number of the subgraph Gh(x) of G induced by 8 1 ,82 , ... , 8 h and x satisfies X(Gh(x)) = h+l. Fig. 4 (a) shows a 4-coloring of a graph G with X(G) = 4, in Fig. 2 (b) an orientation without circuits is given (it is derived in fact from the coloring in Fig. 2 (a)) with a 4-coloring having Property (a) of Theorem 9. Notice that it does not satisfy Property (b) since the subgraph generated by 81, 8 2 and x is 2-colorable. The proof technique of B.

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    Aiding Decisions with Multiple Criteria: Essays in Honor of Bernard Roy by Jacques Lesourne (auth.), Denis Bouyssou, Eric Jacquet-Lagrèze, Patrice Perny, Roman Słowiński, Daniel Vanderpooten, Philippe Vincke (eds.)

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