Abstract A hesitant fuzzy (HF) set is an extension of the sets and a T-spherical (T-SFS) generalization spherical (SFS). HF has significant role for modelling disagreements decision-makers over membership degree element. Also, T-SFS quite effective in uncertainty decision-making (DM) problems. In this paper, we define concept (HT-SF) (HT-SFS) by combining concepts T-SFS, present some set-theore...

The dynamic multi-attribute decision making problems with intuitionistic fuzzy information are investigated. The notions of intuitionistic fuzzy variable and uncertain intuitionistic fuzzy variable are defined, and two new aggregation operators: dynamic intuitionistic fuzzy weighted averaging (DIFWA) operator and uncertain dynamic intuitionistic fuzzy weighted averaging (UDIFWA) operator are pr...

This study presents a new similarity measure based on the geometric-mean averaging operator to handle the similarity measure problems of generalized fuzzy numbers. Some properties of the proposed similarity measure are demonstrated, and 26 sets of generalized fuzzy numbers are used to compare the proposed method with existing similarity measures. Comparison results indicate that the proposed si...

In this paper we introduce a new fuzzy decision making model that unifies induced aggregation operators and distance measures in the same formulation. We develop the fuzzy induced generalized ordered weighted averaging distance (FIGOWAD) operator. The main advantage of this operator is that it provides a parameterized family of aggregation operators between the minimum and the maximum and a wid...

This paper extends the technique for order preference by similarity to ideal solution (TOPSIS) for solving multi-attribute group decision making (MAGDM) problems under triangular intuitionistic fuzzy sets by using its correlation coefficient. In situations where the information or the data is of the form of triangular intuitionistic fuzzy numbers (TIFNs), some arithmetic aggregation operators h...

The paper aims are to impersonate some robust sine-hyperbolic operations laws determine the group decision-making process under fractional orthotriple linear Diophantine fuzzy set (FOLDFS) situation. FOLDFS has a notable feature trade with dubious information broader membership representation space than Spherical set. Based on it, present is classified into three phases. first phase introduce n...

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...

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...

Abstract As a more massive feasible and prominent tool than the complex interval-valued Pythagorean fuzzy (CIVPF) set intuitionistic (CIVIF) set, q-rung orthopair (CIVQROF) has been usually used to represent ambiguity vagueness for real-life decision-making problems. In this paper, we firstly proposed some distance measures, Yager operational laws, their comparison method. Further, developed CI...