We present a procedure for constructing multi-valued tnorms and t-conorms. Our construction uses a pair of single-valued t-norms and the pair of dual t-conorms to construct interval-valued t-norms u and t-conorms t. In this manner we can combine desirable characteristics of different t-norms and t-conorms; furthermore if we use the t-norm ∧ and t-conorm ∨, then (X,u,t) is a superlattice, i.e. t...

In this paper, a generic method based on fuzzy aggregation operator for multi-criterion decision-making problems in design additive manufacturing is proposed. Firstly, power weighted Maclaurin symmetric mean Hamacher T-norm and T-conorm constructed via combination of numbers, average operator, weights, operational rules numbers T-conorm. Based the solving then developed. After that, an example ...

We present a fuzzy version of description logics with concrete domains. Main features are: (i) concept constructors are based on t-norm, t-conorm, negation and implication; (ii) concrete domains are fuzzy sets; (iii) fuzzy modifiers are allowed; and (iv) the reasoning algorithm is based on a mixture of completion rules and bounded mixed integer programming.

We study the weak duality S(x, N (x)) = N (T (x, N (x))) where S is a continuous t-conorm, T is a continuous t-norm and N is a strong negation. We characterize completely the strict cases and show that in all other cases there is no direct relation between generators of T and S or between their possible Archimedean components in ordinal sums.

In this paper, we introduce the notion of fuzzy associative I-ideals in an IS-algebra with respect to a t-conorm and investigate some of its properties. We discuss the properties of homomorphic image and inverse image of S-fuzzy associative I-ideals in an IS-algebras. Relationship between T -fuzzy associative I-ideals and S-fuzzy fuzzy associative Iideals of an IS-algebra is introduced. Connect...

We present a fuzzy version of description logics with concrete domains. Main features are: (i) concept constructors are based on t-norm, t-conorm, negation and implication; (ii) concrete domains are fuzzy sets; (iii) fuzzy modifiers are allowed; and (iv) the reasoning algorithm is based on a mixture of completion rules and bounded mixed integer programming.

In this paper, we redefine the notion of fuzzy 2-normed linear space using t-norm and fuzzy anti-2-normed linear space using t-conorm and introduced the definition of intuitionistic fuzzy 2-norm on a linear space. Mathematics Subject Classification: 46S40, 03E72

The diagnosed complex Pythagorean fuzzy (CPF) set is a more valuable and dominant tool than the intuitionistic sets to describe awkward unreliable information effectively. Further, Archimedean t-norm t-conorm have significant influence depict relation among aggregated values. To take advantage of CPF t-conorm, assume norms algebraic, Einstein, Hamacher, frank at same time, in this analysis, fir...

The linguistic interval-valued Pythagorean fuzzy (LIVPF) sets, which absorb the advantages of terms set and can efficiently describe decision makers’ evaluation information in multi-attribute group decision-making (MAGDM) problems. When investigating aggregation operators information, we have to consider two important issues, viz. operational rules LIVPF numbers functions. classical Archimedean...

Archimedean t-conorm and t-norm are generalizations of a lot of other t-conorms and t-norms, such as Algebraic, Einstein, Hamacher and Frank t-conorms and t-norms or others, and some of them have been applied to intuitionistic fuzzy set, which contains three functions: the membership function, the nonmembership function and the hesitancy function describing uncertainty and fuzziness more object...