Fuzzy plane geometry II: Circles and polygons
β Scribed by J.J. Buckley; E. Eslami
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 511 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0165-0114
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## Abstract We proved in the first part [1] that plane geometry over Pythagorean fields is axiomatizable by quantifierβfree axioms in a language with three individual constants, one binary and three ternary operation symbols. In this paper we prove that two of these operation symbols are superfluou
Gupta and Ray (Fuzzy Sets and Systems 54 (1993) 191) introduced the notion of fuzzy projective planes. We show that an old theorem of Dembowski classiΓΏes all ΓΏnite fuzzy projective planes, that the examples in Gupta and Ray (Fuzzy Sets and Systems 54 (1993) 191) arise from ordinary projective planes