Romanian Journal of Information Science and Technology (ROMJIST)

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ROMJIST is a publication of Romanian Academy,
Section for Information Science and Technology

Editor – in – Chief:
Academician Dan Dascalu

Secretariate (office):
Adriana Neagu
Adress for correspondence: romjist@nano-link.net (after 1st of January, 2019)

Editing of the printed version: Mihaela Marian (Publishing House of the Romanian Academy, Bucharest)

Editing of the on-line version: Lucian Milea (University POLITEHNICA of Bucharest)

Sponsors:
• National Institute for R & D
in Microtechnologies
(IMT Bucharest), www.imt.ro
• Association for Generic
and Industrial Technologies (ASTEGI), www.astegi.ro

ROMJIST Volume 21, No. 4, 2018, pp. 344-357, Paper no. 606/2018
 

Thi NGAN, Luong Thi Hong LAN, Mumtaz ALI, Dan TAMIR, Le Hoang SON, Tran Manh TUAN, Naphtali RISHE, Abe KANDEL
Logic Connectives of Complex Fuzzy Sets

ABSTRACT: The Fuzzy Set Theory has been applied in various problems in numerous fields. In particular, the concepts of t-norms and t-conorms serve a significant role in shaping the theory and its applications. The notion of Complex Fuzzy Sets extends the Fuzzy Set Theory and provides several advantages over the classical theory, especially in terms of the capability to concisely, efficiently, and accurately represent complex relations between fuzzy set components. Some of the areas where complex fuzzy sets have been successfully applied are the areas of time series analysis and multi-criteria decision making problems. The notions of complex t-norms and t-conorms have not been fully developed so far. In this paper, we present the complex fuzzy set forms of t-norms and t-conorms and detail their properties. Additionally, we provide two numerical examples of applying the complex t-norm and t-conorm to multi-criteria decision making in the context of medicine- related problems using medical datasets.

KEYWORDS: Fuzzy sets, Complex fuzzy sets, t-norm and t-conorm, Complex fuzzy t-norms and t-conorms, Multi-criteria decision making problem

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