𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Factoring fuzzy transitivity

✍ Scribed by M. Dasgupta; R. Deb

Book ID
104293124
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
157 KB
Volume
118
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

✦ Synopsis

Transitivity of a precise weak preference relation implies that its asymmetric component (strict preference) and its symmetric component (indi erence) are transitive and conversely the transitivity of strict preference and indi erence implies that the underlying weak preference relation is transitive. This paper examines to what extent analogous results may be obtained for the di erent transitivity conditions and di erent methods for deriving strict preference and indi erence being used in the literature of choice with fuzzy preferences.

πŸ“œ SIMILAR VOLUMES

Transitivity and fuzzy preferences
Transitivity and fuzzy preferences
✍ Manabendra Dasgupta; Rajat Deb πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 756 KB

## Introduction Concepts in precise set theory often have many different plausible counterparts in fuzzy set theory. In the context of choice theory, the notion of "choice set" and of "transitivity" when preferences are precise are two concepts which have many different possible interpretations in

General transitivity conditions for fuzz
General transitivity conditions for fuzzy reciprocal preference matrices
✍ Zbigniew Świtalski πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 282 KB

A reciprocal fuzzy matrix (relation) is a non-negative matrix Q = {q ij } such that q ij + q ji = 1 for all i; j ∈ {1; 2; : : : ; n}. We deÿne general transitivity conditions (named FG-transitivities) for fuzzy reciprocal preference relations and show that they generalize some well-known transitivit