Abstract Zadeh introduced fuzzy sets to study imprecision in real life after which many generalizations have been developed literature. Fuzzy numbers is the major research area of because its needfulness for modeling qualitative and imprecise continuous transitions. Most time, data involved multi-criteria decision making (MCDM) will be form due deforming criteria. Different methods defining tot...

Purpose. The aim of the article is to develop complex constructive mathematical models ordering processes for multi-sequences elements with fuzzy parameters. At same time, following requirements complexity evaluation (FOMSCE) were established: accounting estimates formation operations complexity, need define classes initial elements, as well building individual receiving orders from different s...

Interval-valued intuitionistic fuzzy sets (IVIFSs), a generalization of fuzzy sets, is characterized by an interval-valued membership function, an interval-valued non-membership function.The objective of this paper is to deal with criteria aggregation problems using IVIFSs where there exists a prioritization relationship over the criteria.Based on the ${L}$ukasiewicz triangular norm, we first p...

In this work, a new concept of upper dense sequence in interval (0,1] is introduced. There are infinitely many upper dense sequences in interval (0,1]. Using any upper dense sequence, a new decomposition theorem for fuzzy sets is established and proved. Then, using a chosen upper dense sequence as one of the necessary reference systems, infinitely many total orderings on the set of all fuzzy nu...

The basic paradigm of simulation is the probabilistic approach to describing real world uncertainty. However, in many cases we do not have an information that would be precise enough to build the corresponding probabilistic model or there are some human factors that prevent doing so. In such situations the mathematical tools of fuzzy set theory may be successfully used. It seems that the simple...

The concept of an image of a fuzzy set under a fuzzy relation has proved to be a very powerful tool in fuzzy set theoretical applications. In this paper, we explain how it can be used to model linguistic expressions. For the representation of expressions, such as “at least middle-aged”, “brighter than average”, we will use fuzzy ordering relations, while resemblance relations will be suitable t...

In this paper, the evaluation of customers’satisfaction is investigated by using group decision making method under uncertainty. Here, we have used the Zadeh’s fuzzy concept to model and measure the satisfaction. For this purpose, we have firstly applied the Delphi method with fuzzy Likert scales. Then, the fuzzy ELECTRE technique was used in order to ordering the index and questionnaires. For ...