𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Fuzzy Galois connections on fuzzy posets

✍ Scribed by Wei Yao; Ling-Xia Lu


Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
103 KB
Volume
55
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis


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 operators are studied. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)


📜 SIMILAR VOLUMES


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 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 posets on sets
✍ J. Neggers; Hee Sik Kim 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 167 KB
Galois theory for fuzzy fields
✍ Marius Somodi 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 93 KB

The aim of this paper is to present a generalized form of the Galois connection between the intermediate ÿelds of a ÿeld extension and the subgroups of the corresponding Galois group. We prove that the fundamental theorem of Galois theory accepts a generalization in the fuzzy framework.