The T-spherical fuzzy set (TSFS) is a modification of the (FS), intuitionistic (IFS), Pythagorean (PyFS), q-rung orthopair (q-ROFS), and picture (PFS), with three characteristic functions: membership degree (MD) denoted by S, nonmembership (NMD) D, abstinence (AD) I. It can be used to solve problems uncertain information no restrictions. distance measure (DM) tool that sums up difference betwee...

In fuzzy artificial intelligent decision support systems, three-way intelligent-decision making (TWIDM) has played a very important role in ranking objects under the double hierarchy linguistic variable (DHLV). The 8 × S-boxes are for image encryption secure communication. Therefore, aim of present study is to develop new approach via DHLV and apply it S-box encryption. Artificial based decisio...

The necessity of dealing with uncertainty in real wold problems has been a long-term research challenge that has originated different methodologies and theories. Fuzzy sets along with their extensions such as, type-2 fuzzy sets, interval valued fuzzy sets, Atanassov’s intuitionistic fuzzy sets, etc., have provided a wide range of tools able to deal with uncertainty in different type of problems...

To address the hesitancy, inconsistency and uncertainty of decision makers’ cognitions, linguistic interval hesitant fuzzy sets (LIHFSs) are efficient tools. This paper focuses on studying the application of LIHFSs. To do this, two correlation coefficients of LIHFSs are defined, which needn't consider the length of elements in LIHFSs or the arrangement of their possible interval values. To addr...

The single valued triangular neutrosophic number (SVTrN-number) is simply an ordinary number whose precise value is somewhat uncertain from a philosophical point of view, which is a generalization of triangular fuzzy numbers and triangular intuitionistic fuzzy numbers. Also, SVTrN-number may express more abundant and flexible information as compared with the triangular fuzzy numbers and triangu...

Healthcare waste (HCW) management is an intricate issue upon which numerous factors, such as technical, economic, environmental, and social have impact. A determination on the best treatment method for HCW can be viewed a challenging multi-criteria decision-making (MCDM) problem in various options evaluation criteria are considered. One critical concern when assessing (HCWT) methods representat...

Abstract Pythagorean fuzzy sets (briefly, PFSs) were created as an upgrade to intuitionistic IFSs) which helped address some problems that IFSs couldn’t solve. The definition of q-rung orthopair q-ROFS) is then declared generalize and solve PFS IFS failures. Using the concept PF $$\beta $$ β -neighborhood, Zh...