The paper deals with a recently proposed approach to combining classifiers by means of fuzzy aggregation. The approach relies on the quasi-Sugeno integral and on the t-conorm integral as a generalization of the Choquet and Sugeno integral, which have been used for combining classifiers so far. New theoretical development is presented, in particular a proposition concerning the λ measures used i...

This paper deenes a problem that we called \fuzzy satissability" or \-satissability." It describes in mathematical terms the semantics of satisfying clauses and formulas using fuzzy logic, by converting a boolean formula into an arithmetic expression via t-norm and t-conorm operators. It is shown that for any (t-norm, t-conorm) pair, the corresponding-satissability problem is NP-hard when the v...

In the paper aggregations of fuzzy relations using functions of n variables are considered. After recalling properties of fuzzy relations, aggregation functions which preserve: reflexivity, irreflexivity, T -asymmetry, T -antisymmetry, symmetry, S-connectedness, T -transitivity, negative Stransitivity, T -S-semitransitivity and T -S-Ferrers property of fuzzy relations, where T is a t-norm and S...

In many decision-making situations, we are not restricted to two kinds of aspects, such as membership degree or nonmembership degree, and sometimes need include the abstinence (AD). However, fuzzy set theories fail cover issues, an intuitionistic soft set, Pythagorean q-rung orthopair set. All above notions can only consider a in their structures. The spherical compensates for these drawbacks i...

Many aggregation operators are studied to deal with multi-criteria group decision-making problems. Whenever information has two aspects, intuitionistic fuzzy sets and Pythagorean employed handle the information. However, q-rung orthopair more flexible suitable because they cover widely. The current paper primarily focuses on technique based prioritization robust Aczel–Alsina t-norm t-conorm. Th...

The fuzzy rough sets and generalized fuzzy rough sets have been extended by three pairs of fuzzy logical operators to deal with real-valued data for a variety of models. Three pairs of fuzzy logical operators are triangular norm or t-norm and its dual (t-conorm), residual implicator or R-implicator and its dual, fuzzy implicator and t-norm, which are frequently discussed in generalization model...

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

In this article, we introduce the idea of normality and translation Q-intuitionistic fuzzy subgroups with respect to norms (t-norm T t-conorm C) some interesting results them are given. Conditions for level cut subsets explored provided. Finally, investigate by using group homomorphisms investigated.