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...

Two induced aggregation operators with novelly designed TOPSIS order-inducing variables are proposed: Induced Interval-valued Intuitionistic Fuzzy Hybrid Averaging I-IIFHA operator and Induced Interval-valued Intuitionistic Fuzzy Hybrid Geometric I-IIFHG operator. The merit of two aggregation operators is that they can consider additional preference information of decision maker’s attitudinal c...

The intuitionistic fuzzy soft set (IFSS) is a vital technique for tackling uncertainty while the collection of information with help membership function having values from unit interval. Moreover, Aczel-Alsina t-norm (AATNRM) and t-conorm (AATCRM) are most generalized flexible operational laws to operate which part intervals. purpose this article provide number aggregation operations (AOs) repr...

The information expression and modeling of decision-making are critical problems in the fuzzy decision theory method. However, existing trapezoidal neutrosophic numbers (TrNNs) Z-numbers (NZNs) their multicriteria (MDM) methods reveal insufficiencies, such as without considering reliability measures TrNN continuous NZN. To overcome it is necessary that one needs to propose (TrNZNs), aggregation...

The neutrosophic set (NS) can be better to express the incomplete, indeterminate and inconsistent information, and Hamacher aggregation operators extended the Algebraic and Einstein aggregation operators and the generalized aggregation operators can generalize the arithmetic, geometric, and quadratic aggregation operators. In this paper, we combined Hamacher operations and generalized aggregati...

Lattice-ordered monoids are important backgrounds and algebraic foundations of residuum in general. The t-norm based lattices are investigated widely in fuzzy models, but in recent time while researching new approximate reasoning methods in soft computing based models and fuzzy models, the investigations are focused on new types of operators, like uninorms. It is necessary to find and define co...

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...

Distortion risk measures summarize the risk of a loss distribution by means of a single value. In fuzzy systems, the Ordered Weighted Averaging (OWA) and Weighted Ordered Weighted Averaging (WOWA) operators are used to aggregate a large number of fuzzy rules into a single value. We show that these concepts can be derived from the Choquet integral, and then the mathematical relationship between ...

We present the generalized hybrid averaging (GHA) operator. It is a new aggregation operator that generalizes the hybrid averaging (HA) operator by using the generalized mean. Thus, we are able to generalize a wide range of mean operators such as the HA, the hybrid geometric averaging (HGA), the hybrid quadratic averaging (HQA), the generalized ordered weighted averaging (GOWA) operator and the...