@ARTICLE { Rsds3644,
author = {Radzikowska, Anna Maria and Kerre, Etienne E.}, 
title = {Characterisation of main classes of fuzzy relations using fuzzy modal operators}, 
journal = {Fuzzy Sets and Systems}, 
number = 	{(no. 2)}, 
volume = 152, 
pages = {223-247}, 
publisher = {Elsevier Science Inc.}, 
address = {Amsterdam, The Netherlands}, 
month = {June}, 
year = 2005, 
issn = {0165-0114}, 
abstract = {Fuzzy modal operators express interactions between binary fuzzy relations and fuzzy sets. Each of these operators is determined by a binary fuzzy relation (on a given universe) and transforms one fuzzy set (in this universe) to another one. In this paper, we define several fuzzy modal operators and provide characterizations of main classes of binary fuzzy relations by means of these operators. Interpretation of these characterizations is presented in the context of fuzzy modal logics. We show that these characterizations constitute the basis for determining characteristic axioms of particular classes of fuzzy modal logics.}, 
keywords = {fuzzy relations, modal operators, fuzzy logical operators, modal operators, modal logics, fuzzy rough sets, fuzzy mathematical morphology, }, 
}