On equivalent forms of fuzzy logic systems NM and IMTL

✍ Scribed by Daowu Pei

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 204 KB
• Volume: 138
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(02)00382-2

✦ Synopsis

The nilpotent minima are important t-norms in fuzzy logic and fuzzy reasoning. Two interesting formal systems-nilpotent minimum logic NM and L * -based on nilpotent minima have been proposed and have been intensively studied. In this paper, their equivalence is pointed out. Moreover, coincidence of two related algebraic structures-NM-and R 0 -algebras-is also proved. In addition, we give an equivalent form of involutive monoidal t-norm-based logic IMTL.