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A new t-norm

✍ Scribed by J.J. Buckley; W. Siler

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 561 KB
Volume: 100
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(97)00270-4

No coin nor oath required. For personal study only.

✦ Synopsis

We define a new t-norm, and t-conorm, whose domain is usually a restricted subset of [0, l] x [0, 1], with one parameter, the correlation coefficient between the membership values, which ranges from -l to 1. We then investigate their properties showing at one extreme they equal the Zadeh operators (max, rain), and at the other extreme they produce the Lukasiewicz operators (max(a + b -1,0), min(a + b, 1)). @

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