The concepts of fuzzy θ-open (θ-closed)sets and fuzzy θ-closure operator are introduced and discussed in intuitionistic fuzzy topological spaces. As applications of these concepts, certain functions are characterized in terms of intuitionistic fuzzy θ-closure operator.

In recent years, there have been a growing interest in developing Multi-Criteria Decision Making (MCDM) and Group Decision Making (GDM) using type-2 fuzzy sets and Intuitionistic Fuzzy Sets (IFSs) which provide frameworks to handle the encountered uncertainties in decision making models. Previous research has shown the power of type-2 fuzzy logic systems to handle the linguistic uncertainties. ...

It is easy for an expert to express his/her preferences using fuzzy linguistic term such as ‘good’, ‘very good’ in group decision making because of uncertainty existing. The linguistic 2-tuple representation model was selected to represent fuzzy linguistic term. To obtain the objective decision power in a linguistic 2-tuple judgment matrix given by an expert, the paper put forward a new approac...

In view of the problem that it is difficult to quantitatively assess interactivity between attributes in identification process 2-order additive fuzzy measure, this work uses intuitionistic sets (IFSs) describe and deal with attributes. Firstly, defined by supermodular game theory. On basis, experts employ number (IFN) attributes, Secondly, opinions all are aggregated using weighted average ope...

We develop a new decision making model based on the use of a unified approach between the probability, the weighted average and the ordered weighted averaging (OWA) operator in an uncertain environment that can be assessed with fuzzy numbers (FNs). We present a new aggregation operator called the fuzzy probabilistic ordered weighted averaging – weighted averaging (FPOWAWA) operator. We study it...

In this paper, we use the Choquet integrals to define some induced fuzzy number intuitionistic fuzzy aggregating operators, including induced fuzzy number intuitionistic fuzzy correlated averaging(I-FIFCA) operator, induced fuzzy number intuitionistic fuzzy correlated geometric(I-FIFCG) operator. We also establish various properties of these operators, such as commutativity, idempotency and mon...

As a generalization of intuitionistic fuzzy sets, neutrosophic sets (NSs) can be better handle the incomplete, indeterminate and inconsistent information, which have attracted the widespread concerns for researchers. In this paper, some new aggregation operators are proposed under single-valued neutrosophic environment. Firstly, the definition and operational laws of single-valued neutrosophic ...

Currently most of the Web-Based learning systems assess the learner’s knowledge in terms of the learner’s crisp responses to the tests that are taken during the learning process. However, several factors such as successful guesses or choosing a more probable answer lead to uncertainty about the evaluation process. To this end, this paper investigates the use of a novel method based on the Intui...