In this paper, we develop some new operational laws and their corresponding aggregation operators for picture fuzzy sets ( PFSs ). PFS is a powerful tool to deal with vagueness, which generalization of set intuitionistic (IFS). can model uncertainty in such situations, consist more than two answers like yes, refusal, neutral, no. The operations t-norm t- conorms , developed by Frank, are usuall...

We define some operations over Atanassov’s intuitionistic fuzzy sets (AIFSs), such as Einstein intersection, Einstein product, Einstein scalar multiplication and Einstein exponentiation, etc., and then define new concentration and dilation of AIFSs. These definitions will be useful while dealing with various linguistic hedges like “very”, “more or less”, “highly”, “very very” etc., involved in ...

An interval-valued T-spherical fuzzy set (IVTSFS) is an efficient framework to treat ambiguous and vague information more efficiently. It has four functions consisting of the in intervals. With help these functions, IVTSFS a reliable than other existing frameworks. This article aims establish algebraic operations IVTSFSs named Frank sum, multiplication, scalar multiplication stranded on t-norm ...

Multi-attribute decision-making (MADM) is usually used to aggregate fuzzy data successfully. Choosing the best option regarding not generally symmetric on grounds that it does provide complete information. Since Aczel-Alsina aggregation operators (AOs) have great impact due their parameter variableness, they been well applied in MADM under construction. Recently, AOs intuitionistic sets (IFSs),...

As an extension of several fuzzy structures such as sets, intuitionistic picture q-rung ortho-pair and T-spherical (TSF) sets (TSFSs), are effective tool for controlling the vagueness data. Archimedean t-conorm (ATCN) t-norm (ATN), which consists (TCN) (TN) families, is a crucial approach to produce extensive operational rules. In this manuscript, TSF numbers some core laws initiated based on A...

In multi-attribute group decision-making (MAGDM) problems, prioritization is sometimes important. Several techniques and methods have been introduced in fuzzy systems to use prioritization. The main purpose of this paper propose prioritized aggregation operators (AOs) for intuitionistic (IF) information. These AOs are symmetric nature based on the novel Aczel–Alsina t-norm t-conorm. Herein, we ...

The confidence levels can reduce the influence of unreasonable evaluation value that was given by decision-maker on decision-making results. Archimedean t-norm and t-conorm (ATS) also have many advantages for processing uncertain data. Under this environment, q-rung orthopair fuzzy aggregation operator based ATS is one most successful extensions numbers in which we decrease deviation caused sub...

Since existing selection methods of surgical treatment schemes renal cancer patients mainly depend on physicians’ clinical experience and judgments, the options lack their scientifical reasonable information expression group decision-making model for patients. Fuzzy multi-sets (FMSs) have a number properties, which make them suitable expressing uncertain medical diagnoses treatments in (GDM) pr...