Fuzzy Triangular Aggregation Operators
Joint Authors
Simo, Ulrich Florian
Gwet, Henri
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-01
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We present a new class of fuzzy aggregation operators that we call fuzzy triangular aggregation operators.
To do so, we focus on the situation where the available information cannot be assessed with exact numbers and it is necessary to use another approach to assess uncertain or imprecise information such as fuzzy numbers.
We also use the concept of triangular norms (t-norms and t-conorms) as pseudo-arithmetic operations.
As a result, we get notably the fuzzy triangular weighted arithmetic (FTWA), the fuzzy triangular ordered weighted arithmetic (FTOWA), the fuzzy generalized triangular weighted arithmetic (FGTWA), the fuzzy generalized triangular ordered weighted arithmetic (FGTOWA), the fuzzy triangular weighted quasi-arithmetic (Quasi-FTWA), and the fuzzy triangular ordered weighted quasi-arithmetic (Quasi-FTOWA) operators.
Main properties of these operators are discussed as well as their comparison with other existing ones.
The fuzzy triangular aggregation operators not only cover a wide range of useful existing fuzzy aggregation operators but also provide new interesting cases.
Finally, an illustrative example is also developed regarding the selection of strategies.
American Psychological Association (APA)
Simo, Ulrich Florian& Gwet, Henri. 2018. Fuzzy Triangular Aggregation Operators. International Journal of Mathematics and Mathematical Sciences،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1173535
Modern Language Association (MLA)
Simo, Ulrich Florian& Gwet, Henri. Fuzzy Triangular Aggregation Operators. International Journal of Mathematics and Mathematical Sciences No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1173535
American Medical Association (AMA)
Simo, Ulrich Florian& Gwet, Henri. Fuzzy Triangular Aggregation Operators. International Journal of Mathematics and Mathematical Sciences. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1173535
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1173535