Ph.D. Tezi Görüntüleme

Student:	Mehmet ŞAHİN
Supervisor:	Prof. Dr. Osman GÜRSOY
Department:	Mathematics
Institution:	Graduate School of Natural and Applied Sciences
University:	Karadeniz Technical University, Turkey

Title of the Thesis:	Generalized Q - Alggebras And Generalized Fuzyyy Measurements
Level:	Ph.D.
Acceptance Date:	18/6/2004
Number of Pages:	76
Registration Number:	di451

Summary:

In this study, firstly general information about terms such as partially ordered sets, lattices, Boolean algebra, complement and De Morgan Algebra, series and limits in series, algebra, ring,sigma-algebra, sigma-ring, fuzzy sets and measurements was given.

Some definitions and teorems were examined refering to the study of E. P. Klement and W. Schwyhla called “Correspondence Between Fuzzy Measures and Classical Measures” [14]. Moreover, some definitions and teorems taken from the article called “Generalized Fuzzy Sets” by Nobuyuki Nakajima [18] were shown.

Finally, noticing that the proof of lemma (Lemma 2.2 and Lemma 2.3) given by Nakajima were special, in this study the proofs of these lemma were generalized.

Key words: L-Fuzzy Sets, Fuzzy sigma-algebra, Fuzzy Measurement, Generalized Fuzzy Sets, Complement