Titlebook: Applications of Combinatorics and Graph Theory to the Biological and Social Sciences; Fred Roberts Conference proceedings 1989 Springer-Ve

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Sign-Patterns and Stability,This is a survey of recent results and problems concerning the relationship between the stability properties of a linear system and the sign-pattern of its coefficients.

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Social Welfare and Aggregation Procedures: Combinatorial and Algorithmic Aspects,emeny’s medians, Dogson procedure. Then a general definition of an aggregation procedure is proposed and a hierarchy of results (possible/impossible, computable/non computable, easy/hard) is illustrated by several examples. The last part of this paper is devoted to a formal theory of medians and a n

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Probabilistic Knowledge Spaces: A Review,of questions or problems in a given domain of information, equipped with a distinguished family . of subsets. The family . is assumed to be closed under union, and its elements are . The equivalence between this concept and other useful ones is spelled out. A practical implementation of computerized

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Uniqueness in Finite Measurement,r numerical representations of qualitative relations on finite sets. The sequences we discuss arise from measurement problems which include measurement of subjective probability, extensive measurement, difference measurement, and additive conjoint measurement. The measurement problems lead to sequen

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Conceptual Scaling,t of numerals to objects or events according to rules” (see [15], p. 22), or by Torgerson’s statement: “measurement of a property involves the assignment of numbers to systems to represent that property” (see [16], p. 14). In contrast to this, conceptual scaling uses first of all set-theoretical met