Given a suitable extension $ F'/F of algebraic function fields over finite field \mathbb{F}_q $, we introduce the conorm code \operatorname{Con}_{F'/F}( \mathcal{C}) defined F' which is constructed from an geometry \mathcal{C} F $. We study parameters in terms ramification behavior places used to define and genus In case unramified extensions prove that \mathcal{C})^\perp = \mathcal{C}^\perp) w...

It is an open question whether a non-trivial convex combination of triangular norms (resp. conorms) can be a triangular norm (resp. conorm). We investigate the analogous question for S-implications and R-implications.

There is given an axiomatization of the hybrid probabilistic-possibilistic mixture, based on a pair of t-conorm S and t-norm T satisfying (CD) condition, and the corresponding S-measure.

Abstract Aczel–Alsina t-norm and t-conorm are important t-conorm, they extended from algebraic t-conorm. Obviously, more general than some existing Furthermore, the power aggregation (PA) operator is also a very famous valuable which can consider relation between any two input parameters. In addition, Interval-valued Atanassov-intuitionistic fuzzy set (IVA-IFS) easily express uncertain informat...

In this paper we present a short history of logics: from particular cases of 2-symbol or numerical valued logic to the general case of n-symbol or numerical valued logic. We show generalizations of 2-valued Boolean logic to fuzzy logic, also from the Kleene’s and Lukasiewicz’ 3-symbol valued logics or Belnap’s 4-symbol valued logic to the most general n-symbol or numerical valued refined neutro...

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 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...