We introduce the notion of interval-valued linear Diophantine fuzzy set, which is a generalized model for providing more accurate information, particularly in emergency decision-making, with help intervals membership grades and non-membership grades, as well reference parameters that provide freedom to decision makers analyze multiple objects alternatives universe. The accuracy numbers analyzed...

Due to the complexity and uncertainty of decision-making, probabilistic linguistic term sets (PLTSs) are currently important tools for qualitative evaluation decision-makers. The asymmetry information can easily lead loss subjective preference decision-makers, existing operation decision-maker fusion operators is difficult solve this problem. To such problems, paper proposes some new operationa...

The Aczel-Alsina t-norms ware proposed by Aczel and Alsina in 1982, which are a very effective dominant technique used the construction of any kind aggregation operators. Moreover, Algebraic special case because parameter $$0<p<+\infty$$ . Additionally, complex intuitionistic fuzzy (COIF) set is an essential valuable part to handle vague awkward situations many real-life problems. Motivated abo...

Atanassov presented the dominant notion of intuitionistic fuzzy sets which brought revolution in different fields science since their inception. The operations t-norm and t-conorm introduced by Dombi were known as operational parameter possesses natural flexibility with resilience variability. advantage is very important to express experts’ attitude decision-making. This study aims propose roug...

In this paper, we have shown that the fuzzy-rough set attribute reduction algorithm [Jenson, R., Shen, Q., 2002. Fuzzy-rough sets for descriptive dimensionality reduction. In: Proceedings of IEEE International Conference on Fuzzy Systems, FUZZ-IEEE'02, May 12-17, pp. 29-34] is not convergent on many real datasets due to its poorly designed termination criteria; and the computational complexity ...

This paper analyzes the performance of some fuzzy implications proposed in the bibliography together with the operators needed for their definition and for the fuzzy inference process, Examining the specialized literature, it is clear that the selection of the best fuzzy implication operator has become one of the main question in the design of a fuzzy system, being occasionally contradictory (a...

In order to obtain a demanded fuzzy implication, a number of properties have been proposed, among which the first place antitonicity, the second place monotonicity and the boundary conditions are the most important ones. The three classes of fuzzy implications derived from the implication in binary logic, S-, Rand QL-implications all satisfy the second place monotonicity and the boundary condit...

We make a probabilistic analysis related to some inference rules which play an important role in nonmonotonic reasoning. In a coherence-based setting, we study the extensions of a probability assessment defined on n conditional events to their quasi conjunction, and by exploiting duality, to their quasi disjunction. The lower and upper bounds coincide with some well known t-norms and t-conorms:...

For a fast evaluation of fuzzy rule based systems (FRBS's) some special fuzzy hardware is available, but in most of the realized applications only standard hardware or specific non fuzzy ASICs are used. In this paper we discuss some of the reasons of this gap and give hints for a fast realization of FRBS's especially on digital standard processors. For the realiza tion a fast algorithm with an ...