Fuzzy Triangular Aggregation Operators
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 informatio...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2018/9209524 |
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| _version_ | 1832565492329480192 |
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| author | Ulrich Florian Simo Henri Gwét |
| author_facet | Ulrich Florian Simo Henri Gwét |
| author_sort | Ulrich Florian Simo |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-172351f4eafd4f0aae2f0d6089bd8801 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-172351f4eafd4f0aae2f0d6089bd88012025-02-03T01:07:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252018-01-01201810.1155/2018/92095249209524Fuzzy Triangular Aggregation OperatorsUlrich Florian Simo0Henri Gwét1National Advanced School of Engineering, University of Yaounde 1, 8390 Yaounde, CameroonNational Advanced School of Engineering, University of Yaounde 1, 8390 Yaounde, CameroonWe 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.http://dx.doi.org/10.1155/2018/9209524 |
| spellingShingle | Ulrich Florian Simo Henri Gwét Fuzzy Triangular Aggregation Operators International Journal of Mathematics and Mathematical Sciences |
| title | Fuzzy Triangular Aggregation Operators |
| title_full | Fuzzy Triangular Aggregation Operators |
| title_fullStr | Fuzzy Triangular Aggregation Operators |
| title_full_unstemmed | Fuzzy Triangular Aggregation Operators |
| title_short | Fuzzy Triangular Aggregation Operators |
| title_sort | fuzzy triangular aggregation operators |
| url | http://dx.doi.org/10.1155/2018/9209524 |
| work_keys_str_mv | AT ulrichfloriansimo fuzzytriangularaggregationoperators AT henrigwet fuzzytriangularaggregationoperators |