Trapezoidal intuitionistic fuzzy numbers (TrIFNs) express abundant and flexible information in a suitable manner and  are very useful to depict the decision information in the procedure of decision making. In this paper, some new aggregation operators, such as, trapezoidal intuitionistic fuzzy weighted power harmonic mean (TrIFWPHM) operator, trapezoidal intuitionistic fuzzy ordered weighted po...

In this paper, we develop to a new operator by using together IVBFS and Dombi operators. Also, the some properties of concept are introduced like addition, scalar multiplication, power, multiplication. The presented is Interval Valued Bipolar Fuzzy Prioritized Weighted Averaging (IVBFPWDA) various offered idempotency, monotoncity, boundedness. Then, present score function similar over (IVBFSs) ...

A simplified neutrosophic uncertain linguistic set that integrates quantitative and qualitative evaluation can serve as an extension of both an uncertain linguistic variable and a simplified neutrosophic set. It can describe the real preferences of decision-makers and reflect their uncertainty, incompleteness and inconsistency. This paper focuses on multi-criteria decision-making (MCDM) problem...

In this paper, a new algebraic representation by the non-Archimedean fields is proposed to model stratified/ranked knowledge bases. The non-Archimedean representation is in the form of the non-Archimedean polynomials. With the nonArchimedean representation, the most widely used ordering strategies are easily induced and compared. Moreover, a framework of prioritized merging operators using the ...

In this paper we model knowledge dynamics in agents’ belief bases in a collaborative multiagent system. Four change operators are introduced: expansion, contraction, prioritized revision, and non-prioritized revision. For all of them, both constructive definitions and an axiomatic characterization by representation theorems are given. We formally justify minimal change, consistency maintenance,...

In this contribution we introduce a notion of an m-polar aggregation operator as a generalization of aggregation operators and bipolar aggregation operators, and we introduce the main properties of these aggregation operators. Extensions of some (bipolar) aggregation operators to m-polar aggregation operators are also introduced, as well as metrics on the category space K×[0, 1] related tom-pol...

In a conventional interpretation of decision-making based on ambiguity, decision-maker must prefer the best possible opportunity including various feasible possibilities. However, dilemma picking alternative has continued to be substantial task resolve. this manuscript, we improve existing complex intuitionistic fuzzy soft set (CIFSS), which includes grade truth and falsity with rule that sum r...

Some special general aggregation operators are given with respect to different ordering relations on the set of all fuzzy subsets of a universe X, F(X ). The proof that pointwise extensions of aggregation operators are general aggregation operators with respect to the ordering fuzzy subset (⊆F ) is given. Also, we have proved that min–extensions of aggregation operators are general aggregation ...