This volume brings together for the first time articles by well-known experts focusing on the topic of the joint occurrence of imprecision, dealt with in terms of fuzzy sets and possibility theory, and randomness, dealt with in terms of probability theory, in a wide spectrum of decision making...

Random Set Theory -- Random Multiple Objective Decision Making -- Bi-random Multiple Objective Decision Making -- Random Fuzzy Multiple Objective Decision Making -- Random Rough Multiple Objective Decision Making -- Methodological System for RLMODM -- Some Mathematical Aids -- Some Procedures

This book presents a rigorous treatment of the mathematical instruments available for dealing with income distributions, in particular Lorenz curves and related methods. The methods examined allow us to analyze, compare and modify such distributions from an economic and social perspective....

General Remarks on Robust Solutions -- Modeling of Uncertainty and Probabilistic Issues -- On Joint Modelling of Random Uncertainty and Fuzzy Imprecision -- On the Approximation of a Discrete Multivariate Probability Distribution Using the New Concept of -Cherry Junction Tree -- Robust Solutions...

List of Models -- 1. Consumer Behavior Models -- 2. Models of Advertising and Sales Promotion -- 3. Pricing Models -- 4. Product Models -- 5. Sales Forecasting Models -- 6. Facility Location Models -- 7. Sales Force Models -- 8. Marketing Mix Models -- 9. Miscellaneous Models.

An open von Neumann model with, consumption -- Contribution to the theory of existence of von Neumann equilibria (II) -- Cournot-Bertrand mixed oligopolies -- La grange multipliers for the problem of stochastic programming -- Von Neumann models defined by transformations and by production cones...

I. Economic Theory and Duality -- 1. Introduction. -- 2. Abstract economies. -- 3. Introduction to duality. -- 4. An economy with public goods (only). -- 5. Optimality and Nash-equilibrium. -- 6. Competitive equilibrium. -- 7. Intertemporal optimality. -- Al. Duality operations on sets and...

This book deals with the analysis of some formal problems involving operators in Euclidean spaces and their applications to economic modelling. It contains a set of new results on the solvability of complementarity problems and variational inequalities, and a number of applications to...

1 Motivation -- 1–1 Introduction -- 1–2 Miscellaneous Examples -- 1–3 Conclusion: Our Present Aim -- 2 The Initial Axioms -- 2–1 Some Logical Geography -- 2–2 Commutative Bands -- 2–3 Isotone Functions -- 2–4 Belts -- 2–5 Belt Homomorphisms -- 2–6 Types of Belt -- 2–7 Dual...

In this book binary functions and their representation by implicants or implicates are described. In particular minimal representations by prime implicants or prime implicates are given. Such representations generalize the minimal representations of the usual Boolean functions. It is shown that...