In this paper, a generalized picture fuzzy soft set is proposed, which an extension of the sets. We investigate basic properties sets and define F-subset, M-subset, extended union, intersection, restricted intersection also prove De Morgan’s laws for information. upper lower substitution both Meanwhile, related proofs are given in detail. Finally, we propose algorithm to deal with To show supremacy effectiveness proposed technique, illustrate descriptive example using Results indicate that...

The q-rung orthopair fuzzy set (qROFS) defined by Yager is a generalization of Atanassov intuitionistic and Pythagorean sets. In this paper, we define the knowledge measure for qROFS using tangent inverse function. This first approach to quantify associated with qROFS. membership nonmembership functions as well hesitancy margin are used which makes it capable considering both fuzziness. entropy dual also defined. properties proposed graphical explanations discussed. An application in...

The concept of picture fuzzy sets (PFS) is a generalization ordinary and intuitionistic sets, which characterized by positive membership, neutral negative membership functions. Keeping in mind the importance similarity measures applications data mining, medical diagnosis, decision making, pattern recognition, several studies have been proposed literature. Some those, however, cannot satisfy axioms provide counter-intuitive cases. In this paper, we propose new for PFSs based on two parameters...

A new condition on positive membership, neutral and negative membership functions give us the successful extension of picture fuzzy set Pythagorean called spherical sets ( SFS ) . This extends domain functions. Keeping in mind importance similarity measure application data mining, medical diagnosis, decision making, pattern recognition, several studies measures have been proposed literature. Some those, however, cannot satisfy axioms provide counter-intuitive cases. In this paper, we...

Abstract This article presents the circular Pythagorean fuzzy set (C-PFS) model, a generalization of intuitionistic model that improves its performance thanks to acclaimed extension sets sets. Then, we generalize C-PFSs produce novel disc (D-PFSs). The constituent elements both and D-PFSs are values, either with common or distinctive radius. We lay out some fundamental algebraic arithmetic operations on (hence C-PFSs), namely union, intersection, addition, multiplication, scalar explore main...

The basic idea underneath the generalized intuitionistic fuzzy soft set is very constructive in decision making, since it considers how to exploit an extra input from director make up for any distortion information provided by evaluation experts, which redefined and clarified F. Feng. In this paper, we introduced a method solve making problems using adjustable weighted discernibility matrix set. We define threshold functions like mid-threshold, top-bottom-threshold, bottom-bottom-threshold,...

The compromise solution of the multi-criteria decision-making (MCDM) problem by existing VIKOR method for Pythagorean fuzzy sets (PyFSs) is not closest to positive ideal solution. This because defining function does obey axioms a dissimilarity measure. Thus in this context, notion measures and are controversial. study aims provide new measure refine PyFSs accordingly. We define method. discuss additional properties improve ideas remoteness ranking indexes. numerical examples support analysis...

<abstract><p>Clean energy potential can be used on a large scale in order to achieve cost competitiveness and market effectiveness. This paper offers sufficient information choose renewable technology for improving the living conditions of local community while meeting requirements by employing notion q-rung orthopair fuzzy numbers (q-ROFNs). In real-world situations, q-ROFN is exceptionally useful representing ambiguous/vague data. A multi-criteria decision-making (MCDM)...

The basic idea underneath the generalized picture fuzzy soft set is very constructive in decision-making, since it considers, how to exploit an extra input from director make up for any distortion information provided by evaluation experts, which defined Khan et al. In this paper, we introduce a method solve decision-making problems using adjustable weighted discernibility matrix set. We define threshold functions like mid threshold, top-bottom-bottom bottom-bottom-bottom top-top-top med and...

In this paper, we introduce the Euclidean, Hamming, and generalized distance measures for intuitionistic fuzzy soft sets (GIFSSs). We discuss properties of presented measures. The numerical example decision making pattern recognition is discussed based on proposed develop a remoteness index-based VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR) method GIFSSs. displaced fixed ideals values (IFVs) are defined. novel concept indexes IFVs discussed. methods to obtain precise (IF)...

In the era of big data, data are being collected, stored, and analyzed at an unprecedented rate. Owing to limitations quantity, diversity, complexity traditional reduction techniques cannot effectively remove redundant attributes reduce uncertainty. this paper, a bi-directional fuzzy granular-cabin parallel attribute accelerator with granular-group collaboration is proposed. First, in-memory computing technology Spark used divide dataset into different subsets achieve distributed...

As a combination of an interval-valued intuitionistic fuzzy soft set (IVIFSS) and (IVIFS), the existing notion generalized (GIVIFSS) is clarified reformulated. We define two types containment in GI VIFSS. With this new perspective, g-union, g-intersection, g∗-union, g∗-intersection, OR, AND, g-necessity g-possibility operations are defined for GIVIFSSs. The properties relations between GIVIFSSs investigated. An algorithm proposed solving MADM problems using GIVIFSS. A descriptive example...

Despite the importance of divergence measures, literature has not provided a satisfactory formulation for case q-rung orthopair fuzzy set. This paper criticizes existing attempts in terms respect basic axioms measure. Then new improved, axiomatically supported measures qROFSs are proposed. Additional properties discussed to guarantee their good performance. The transformation relationships with entropy and dissimilarity debated. multiattribute border approximation area comparison decision...

Abstract Despite the importance of cosine and cotangent function- based similarity measures, literature has not provided a satisfactory formulation for case q-rung orthopair fuzzy set (qROFS). This paper criticizes existing attempts in terms respect basic axioms measure strict inclusion relation. In addition, maximum operator-based measures are criticized. Then, new improved, axiomatically supported function-based qROFSs proposed. Additional properties discussed to guarantee their good...

A new inclusion called total relation has improved the existing dissimilarity measure for q-rung orthopair fuzzy sets (qROFSs). For qROFSs, modified axiomatic definition of is proposed. The Hamming and Euclidean measures are defined. An algorithmic procedure a robust VIKOR method based on established. application in Mass Vaccination Campaigns (MVCs) COVID-19 situation given.

Cubic bipolar fuzzy set (CBFS) is a powerful model for dealing with bipolarity and vagueness altogether because it contains information interval-valued simultaneously. In this article, we define some new notions such as concentration, dilation, support core of CBFS. We introduce cubic relations (CBFRs) their types. As in statistics real variables, variance covariance between two CBFSs. Then, propose correlation coefficients weighted extensions on the basis Later on, properties these are...