Non-dual fuzzy connections

Non-commutative fuzzy Galois connections

✍ G. Georgescu; A. Popescu 📂 Article 📅 2003 🏛 Springer 🌐 English ⚖ 295 KB

Fuzzy Galois Connections

✍ Radim Bêlohlávek 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 482 KB

The concept of Galois connection between power sets is generalized from the point of view of fuzzy logic. Studied is the case where the structure of truth values forms a complete residuated lattice. It is proved that fuzzy Galois connections are in one-to-one correspondence with binary fuzzy relatio

Fuzzy Galois connections on fuzzy posets

✍ Wei Yao; Ling-Xia Lu 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 103 KB

## Abstract The concept of fuzzy Galois connections is defined on fuzzy posets with Bělohlávek's fuzzy Galois connections as a special case. The properties of fuzzy Galois connections are investigated. Then the relations between fuzzy Galois connections and fuzzy closure operators, fuzzy interior o

Fuzzy Galois connections categorically

✍ Javier Gutiérrez García; Iraide Mardones-Pérez; María Angeles de Prada Vicente; 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 193 KB

This paper presents a systematic investigation of fuzzy (non-commutative) Galois connections in the sense of R. Bělohlávek [1], from the point of view of enriched category theory. The results obtained show that the theory of enriched categories makes it possible to present the theory of fuzzy Galois

Fuzzy XNOR connectives in fuzzy logic

✍ Yingfang Li; Keyun Qin; Xingxing He 📂 Article 📅 2011 🏛 Springer 🌐 English ⚖ 390 KB

Connectives for fuzzy partitions

✍ Ion Iancu 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 240 KB

The fuzzy intersection and union are defined by means of a certain pair (T, S) of non-strict Archimedean operators dual with respect to a strict negation having the same additive generator as T. We prove that the equivalence between the Butnariu's definition and the Ruspini's one concerning the fuzz