Open AccessLogika preferencija na grubim i rasplinutim skupovima
Author(s) -
Branislav R. Boričić,
Snežana Konjikušić
Publication year - 2004
Publication title -
economic annals/ekonomski anali
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.148
H-Index - 12
eISSN - 1820-7375
pISSN - 0013-3264
DOI - 10.2298/eka0460131b
Subject(s) - rough set , mathematics , fuzzy logic , fuzzy set , preference , universal set , preference relation , set (abstract data type) , relation (database) , social choice theory , context (archaeology) , mathematical economics , discrete mathematics , algebra over a field , computer science , pure mathematics , artificial intelligence , data mining , statistics , paleontology , biology , programming language
Theories of fuzzy sets and rough sets, as alternatives to the usual set theory founded on the two valued classical logic, present an appropriate context for developing the basic notions of the logic of preference and consequently, of the social choice theory. In this paper we present an introductory survey of two non-classical concepts of set: fuzzy set and rough set, as originally introduced by L. A. Zadeh and Z. Pawlak respectively, and then we prove that a preference relation defined by means of rough sets has the same basic properties as the classical or the fuzzy one. Moreover, we prove that The Liberal Paradox, as originally formulated by A. Sen, holds in the framework of theory of rough sets as well.