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 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...

in this paper, some elementary operations on triangular fuzzynumbers (tfns) are defined. we also define some operations on triangularfuzzy matrices (tfms) such as trace and triangular fuzzy determinant(tfd). using elementary operations, some important properties of tfms arepresented. the concept of adjoints on tfm is discussed and some of theirproperties are. some special types of tfms (e.g. pu...

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...

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...

Abstract The term “ q -Rung orthopair fuzzy sets ( $$q^{r}$$ q r OFSs)” refers to the collection of most differentiated ideas for expressing data in decision-making rules. OFSs can gradually adapt region information by adjusting parameter $$q \ge 1$$ ...

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 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