.png){kind=icon}
.png){kind=icon}
Return
Graded consequence revisited
.png){kind=icon}
PRE
AI
DOI：10.1016/j.fss.2010.02.007.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
In this paper some basic aspects of the theory of graded consequence are reconsidered, based on many results that appeared since the inception of graded consequences in 1986. Relationships of the notion of graded consequence with the notions of consequence in many-valued and fuzzy logics are discussed. Following this, a detailed study is carried out on the necessary conditions that follow from axioms generalizing the rules ex falso quodlibet and reasoning by cases added to the basic three axioms of graded consequence of reflexivity, monotonicity and cut inspired from Tarski and Gentzen. Towards the converse direction, in the process of finding non-trivial examples satisfying the five graded consequence axioms some sufficient conditions on the algebraic structures and the set of valuations are obtained. The significance of these conditions holding simultaneously is investigated. (C) 2010 Elsevier B.V. All rights reserved.
Keywords:
Fuzzy logic
Fuzzy relation
Many-valued logic
Graded consequence