We present a new class of fuzzy aggregation operators that we call fuzzy triangular aggregation operators. To do so, we focus on\nthe situation where the available information cannot be assessed with exact numbers and it is necessary to use another approach\nto assess uncertain or imprecise information such as fuzzy numbers. We also use the concept of triangular norms (t-norms and\nt-conorms) as pseudo-arithmetic operations. As a result, we get notably the fuzzy triangular weighted arithmetic (FTWA), the\nfuzzy triangular ordered weighted arithmetic (FTOWA), the fuzzy generalized triangular weighted arithmetic (FGTWA), the fuzzy\ngeneralized triangular ordered weighted arithmetic (FGTOWA), the fuzzy triangular weighted quasi-arithmetic (Quasi-FTWA),\nand the fuzzy triangular ordered weighted quasi-arithmetic (Quasi-FTOWA) operators. Main properties of these operators are\ndiscussed as well as their comparison with other existing ones. The fuzzy triangular aggregation operators not only cover a wide\nrange of useful existing fuzzy aggregation operators but also provide new interesting cases. Finally, an illustrative example is also\ndeveloped regarding the selection of strategies.
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