Fuzzy power structures

Archive for Mathematical Logic 47 (3):233-261 (2008)
  Copy   BIBTEX

Abstract

Power structures are obtained by lifting some mathematical structure (operations, relations, etc.) from an universe X to its power set ${\mathcal{P}(X)}$ . A similar construction provides fuzzy power structures: operations and fuzzy relations on X are extended to operations and fuzzy relations on the set ${\mathcal{F}(X)}$ of fuzzy subsets of X. In this paper we study how this construction preserves some properties of fuzzy sets and fuzzy relations (similarity, congruence, etc.). We define the notions of good, very good, Hoare good and Smith good fuzzy relation and establish some connections between them, generalizing some results of Brink, Bošnjak and Madarász on power structures

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 76,297

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Good fuzzy preorders on fuzzy power structures.Hongliang Lai & Dexue Zhang - 2010 - Archive for Mathematical Logic 49 (4):469-489.
A type of fuzzy ring.Hacı Aktaş & Naim Çağman - 2007 - Archive for Mathematical Logic 46 (3-4):165-177.
Birkhoff variety theorem and fuzzy logic.Radim Bělohlávek - 2003 - Archive for Mathematical Logic 42 (8):781-790.
Fuzzy Galois connections on fuzzy posets.Wei Yao & Ling-Xia Lu - 2009 - Mathematical Logic Quarterly 55 (1):105-112.
Fuzzy Horn logic II.Radim Bělohlávek & Vilém Vychodil - 2006 - Archive for Mathematical Logic 45 (2):149-177.
What Is Fuzzy Probability Theory?S. Gudder - 2000 - Foundations of Physics 30 (10):1663-1678.
Approximate Similarities and Poincaré Paradox.Giangiacomo Gerla - 2008 - Notre Dame Journal of Formal Logic 49 (2):203-226.
Fuzzy control approaches, General design schemes, Structure of a fuzzy controller.R. Palm - 1998 - In Enrique H. Ruspini, Piero Patrone Bonissone & Witold Pedrycz (eds.), Handbook of Fuzzy Computation. Institute of Physics.
Graded consequence relations and fuzzy closure operator.Giangiacomo Gerla - 1996 - Journal of Applied Non-Classical Logics 6 (4):369-379.
Fuzzy closure systems on L-ordered sets.Lankun Guo, Guo-Qiang Zhang & Qingguo Li - 2011 - Mathematical Logic Quarterly 57 (3):281-291.

Analytics

Added to PP
2013-12-01

Downloads
24 (#483,238)

6 months
1 (#450,425)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Good fuzzy preorders on fuzzy power structures.Hongliang Lai & Dexue Zhang - 2010 - Archive for Mathematical Logic 49 (4):469-489.

Add more citations

References found in this work

Metamathematics of Fuzzy Logic.Petr Hájek - 1998 - Dordrecht, Boston and London: Kluwer Academic Publishers.
Metamathematics of Fuzzy Logic.P. Hájek - 2002 - Studia Logica 72 (3):433-437.
Universal Algebra.George Grätzer - 1982 - Studia Logica 41 (4):430-431.

View all 6 references / Add more references