Reasonable properties for the ordering of fuzzy quantities (II)

摘要: As a continuation of the first part related to and second class ordering approaches this paper deals with fulfilment reasonable properties in third approaches. To do so we briefly introduce fuzzy relations on which is based. Then recall some transitivity-related concepts an procedure based acyclic relation. Acyclicity very weak restriction We prove that many used for comparison quantities satisfy conditions stronger than acyclicity. So give widely applicable formulation derive total ranking order from With our examine all indices respect proposed axioms I.