This chapter aims at a unified presentation of various methods of MCDA based on fuzzy
measures (capacity) and fuzzy integrals, essentially the Choquet and Sugeno integral. A first …

Set functions are map**s that assign to subsets of a universal set a real number and
appear in many fields of mathematics (pure and applied) and computer sciences …

The main advances regarding the use of the Choquet and Sugeno integrals in multi-criteria
decision aid over the last decade are reviewed. They concern mainly a bipolar extension of …

The main advances regarding the use of the Choquet and Sugeno integrals in multi-criteria
decision aid over the last decade are reviewed. They concern mainly a bipolar extension of …

We are interested in modeling interaction between criteria in multi-criteria decision making
when underlying scales are bipolar. Interacting phenomena involving behavioral bias …

The bipolar Möbius transform is an extension of dividends of cooperative games to that of bi-
cooperative games. In this paper, we introduce the bipolar co-Möbius transform as an …

Making a decision is often a matter of listing and comparing positive and negative
arguments. In such cases, the evaluation scale for decisions should be considered bipolar …

Multichoice games, as well as many other recent attempts to generalize the notion of
classical cooperative game, can be casted into the framework of lattices. We propose a …

Mesiarova-Zemankova et al. have proposed a new type of discrete extension of the Choquet
integral that merges positive and negative inputs together, called the balancing Choquet …

Abstract 1This paper first introduces a new approach for studying bi-capacities and the
bipolar Choquet integrals based on ternary-element sets. In the second half of the paper, we …