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Zet Theory



The theory of Zets is presented and the standard techniques of set theory allows for the development of a rich algebra of Zets. It shows that Zets and fuzzy sets are essentially interchangeable. However, the fundamental manipulations, techniques, and definitions of Zets are simple and more amenable to analyze. For example, the extension principle is easy to define.



Total Pages: 7
Pages: 179-186


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Volume: 24
Issue: 1
Year: 2018

Cite this document


Araabi B.N. Journal of Intelligent & Fuzzy Systems

Irwin R. Fuzzy set and possibility theory

Klir G.J. Fuzzy sets and fuzzy logic

Kaufmann, A. & Gupta, M.M. 1985, Introduction to Fuzzy Arithmetic, New York, NY: Reinhold

Neumaier, Arnold. "Clouds, Fuzzy Sets, and Probability Intervals." Reliable Computing 10.4 (2004): 249-272. Crossref. Web.

Nguyen, Hung T. "Fuzzy and Random Sets." Fuzzy Sets and Systems 156.3 (2005): 349-356. Crossref. Web.

Šešelja, Branimir, and Andreja Tepavčević. "Relational Valued Fuzzy Sets." Fuzzy Sets and Systems 52.2 (1992): 217-222. Crossref. Web.

Šešelja, Branimir, and Andreja Tepavčević. "Partially Ordered and Relational Valued Fuzzy Relations I." Fuzzy Sets and Systems 72.2 (1995): 205-213. Crossref. Web.

Wierman M.J. Intelligent Systems

Wierman, Mark J. "Central Values of Fuzzy Numbers—defuzzification." Information Sciences 100.1-4 (1997): 207-215. Crossref. Web.

WIERMAN, MARK J. "EXTENDING SET FUNCTIONS AND RELATIONS." International Journal of General Systems 26.1-2 (1997): 91-96. Crossref. Web.

Wierman, Mark J. "Generalized Representation and Extension." Fuzzy Sets and Systems 106.3 (1999): 387-392. Crossref. Web.

Wierman, M.J. "Yet Another Axiomization of Fuzzy Set Theory." IEEE Annual Meeting of the Fuzzy Information, 2004. Processing NAFIPS ”04. (2004): n. pag. Crossref. Web.

Wierman M.J. NAFIPS 2010

Yager, Ronald R. "A Characterization of the Extension Principle." Fuzzy Sets and Systems 18.3 (1986): 205-217. Crossref. Web.

Zadeh, L.A. "Fuzzy Sets." Information and Control 8.3 (1965): 338-353. Crossref. Web.

Zadeh, L.A. "The Concept of a Linguistic Variable and Its Application to Approximate reasoning—I." Information Sciences 8.3 (1975): 199-249. Crossref. Web.


ISSN PRINT: 1079-8587
ISSN ONLINE: 2326-005X
DOI PREFIX: 10.31209
10.1080/10798587 with T&F
IMPACT FACTOR: 0.652 (2017/2018)
Journal: 1995-Present


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