✦ LIBER ✦

On logical connectives for a fuzzy set theory with or without nonempty self-contradictions

✍ Scribed by E. Trillas; C. Alsina; J. Jacas

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 107 KB
Volume: 15
Category: Article
ISSN: 0884-8173
DOI: 10.1002/(sici)1098-111x(200003)15:3<155::aid-int2>3.0.co;2-0

No coin nor oath required. For personal study only.

✦ Synopsis

Ẁe

show how noncontradiction and excluded-middle laws can hold in a fuzzy logic where the concepts of contradiction and incompatibility are clearly distinguished. However, if we want to avoid self-contradictions in fuzzy set theory then one needs to consider only Ž fuzzy sets with supremum 1 and infimum 0. We clarify in this new context on which the . applications usually take place which logical connectives make sense.