The concept of p,q− quasirung orthopair fuzzy (p,q− QOF) sets is an advanced extension q− rung (q− ROFSs). This paper introduces the adaptation Hamacher t-norm and t-conorm to QOF environment. A series aggregation operators (AOs) their associated properties are presented. study extends its application multi-criteria group decision-making (MCGDM) for practical problem-solving, illustrated through analysis mobile payment platforms. influence operator parameters, denoted as p q, on outcomes...

Similarity measures and distance are used in a variety of domains, such as data clustering, image processing, retrieval information, recognizing patterns, order to measure the degree similarity or divergence between elements datasets. quasirung orthopair fuzzy ( QOF) sets novel improvement set theory that aims properly manage uncertainties. Unfortunately, there is lack research on QOF sets. In this paper, we investigate different cosine ROFSs). Firstly, Euclidean for QOFSs defined, followed...

p,q-quasirung orthopair fuzzy set (p,q-QOFS) is an extension of the q-rung (q-ROFS) theory used to represent uncertainty and vagueness in decision-making processes. The paper aims utilize robust sine-trigonometric operational laws investigate group process within p,q-QOFSs framework. p,q-QOFS possess a distinctive characteristic handling uncertain information by utilizing wider space for membership representation compared q-ROFS. Consequently, current has been categorized into three distinct...

Similarity and distance measures play important roles in fuzzy environments, helping to quantify the degree of similarity or concepts that may not have clear limits. They are used various fields, including logic, clustering, decision-making. The cubic Fermatean set (CFFS), which is a type (FS), highly favoured as an extension for expressing uncertainty through degrees membership (η) non-membership (υ). This article introduces novel cosine CFFSs. These designed improve accuracy efficiency...

The <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">p, q</i> -quasirung orthopair fuzzy ( -QOF) set, an extension of the xmlns:xlink="http://www.w3.org/1999/xlink">q</i> -rung set -ROF) offers a more comprehensive approach to information representation, adept at managing data uncertainties. Unlike restrictive conditions -ROF which require that sum xmlns:xlink="http://www.w3.org/1999/xlink">q^th</i> power membership (η) and...

ABSTRACT In the last few decades, there has been a significant increase in importance of assessing social and ecological implications within industrial product supply chains. This tendency given rise to notion supplier sustainability, which entails meeting economic, environmental, demands all suppliers. The selections are typically based on experts' opinion, then reflected ratings. When examining sustainability indicators, experts may not be fully aware aspects suppliers' social,...

Assessment specialists (experts) are sometimes expected to provide two types of information: knowledge rating domains and the performance objects (called confidence levels). Unfortunately, results previous information aggregation studies cannot be properly used combine categories data covered above. Additionally, a significant range symmetric/asymmetric events structures frequently included in implementation process or practical use fuzzy systems. The primary goal current study was cubic...

In this study, we introduce The p, q-quasirung orthopair fuzzy Dombi operators, including weighted averaging (p, q-QOFDWA), ordered q-QOFDOWA), geometric q-QOFDWG), and q-QOFDOWG) operators. These operators effectively manage imprecise uncertain information, outperforming other sets like the Pythagorean set (PFS) q-rung (q-ROFS). We investigate their properties, boundedness monotonicity, demonstrate applicability in multiple criteria decision-making (MCDM) problems within a q-QOF)...

Crab shells, rich in calcium carbonate (CaCO3), provide a sustainable source of oxide (CaO) for synthesizing Whitlockite (WH, Ca9(MgFe)(PO4)6PO3H), potential biomaterial bone replacement. This study addresses prior research gaps by exploring synthesis temperature variations from 700℃ to 1000℃ and employing acid precipitation yield high-purity WH. Characterization was performed using Fourier Transform Infrared (FT-IR), X-ray Diffraction (XRD), fluorescence (XRF), Scanning Electron Microscopy...

Abstract Cubic Pythagorean fuzzy (CPF) set (CPFS) is a hybrid that can hold much more information and be used to describe both an interval-valued (IVPFS) (PFS) at the same time handle data uncertainties. Based on it, present study classified into three phases. The first phase modify existing operational laws aggregation operators (AOs) in article presented by Abbas et al. (Journal of Intelligent &amp; Fuzzy Systems, vol. 37, no. 1, pp. 1529–1544, (2019)). main objective improved eliminate...

Abstract This paper aims to support decision-makers improve their ability accurately capture and represent judgment in a wide range of situations. To do this, we propose new type fuzzy set called $$p,q$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mo>,</mml:mo> <mml:mi>q</mml:mi> </mml:mrow> </mml:math> -cubic quasi-rung orthopair ( -CQOFS). The -CQOFS allows for more flexible detailed expression incomplete information through the use an...

&lt;abstract&gt; &lt;p&gt;Pythagorean cubic fuzzy sets (PCFSs) are a more advanced version of interval-valued Pythagorean where membership and non-membership depicted using sets. These offer greater amount data to handle uncertainties in the information. However, there has been no previous research on use Einstein operations for aggregating PCFSs. This study proposes two new aggregator operators, namely, weighted averaging (PCFEWA) ordered (PCFEOWA), which extend concept operators effective...

The selection of an appropriate third-party logistics (3PL) provider has become inescapable option for shippers in today’s business landscape, as the outsourcing activities continues to increase. Choosing 3PL supplier that best meets their requirements is one most difficult difficulties consumers face. Effective decision-making (DM) critical dealing with such scenarios, allowing make well-informed decisions within a restricted timeframe. importance DM arises from possible financial...

Pythagorean cubic fuzzy set, is an extension of the interval valued set which relax condition square sum its membership and non-membership degree less than or equal to one supremum functions one. Bas ed on this information by combining idea confidence levels each number, proposed study investigated a new averaging geometric operators, namely weighted operators along with their order are presented. Some desired properties related defined have been investigated. Under given information, multi...

Cubic Pythagorean fuzzy (CPF) set (CPFS) is a hybrid that can describe both interval-valued (IVPF) sets (IVPFSs) and (PF) (PFSs) simultaneously for addressing information ambiguities. Since an aggregation operator (AO) significant mathematical approach in decision-making (DM) problems, this article presents some novel Bonferroni mean (BM) weighted averaging operators between CPF-numbers (CPFNs) aggregating the different preferences of decision-makers. Then, using proposed AOs, we develop DM...

<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">p</i> , xmlns:xlink="http://www.w3.org/1999/xlink">q</i> xmlns:xlink="http://www.w3.org/1999/xlink">r</i> –spherical fuzzy sets are an extension of picture fuzzy, spherical and t-spherical sets, which allow for a more flexible representation uncertainty. In set, decision makers have the flexibility to adjust influence membership grades simultaneously by integrating parameters enabling them...

<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">p, q, r</i> -spherical fuzzy ( -SF) sets are a significant advancement in set (FS) theory, providing an effective way to describe hesitation inside set. This development goes beyond membership degrees (MDs) by incorporating three parameters q</i> and xmlns:xlink="http://www.w3.org/1999/xlink">r</i> ) that shape define the spread of FS. The presence these makes -SF ideal for dealing with...

Using $$p,q,r-$$ fractional fuzzy sets ( FFS) to demonstrate the stability of cryptocurrencies is considered due complex and volatile nature cryptocurrency markets, where traditional models may fall short in capturing nuances uncertainties. FFS provides a flexible framework for modeling by accommodating imprecise data, multidimensional analysis various market factors, adaptability unique characteristics space, potentially offering more comprehensive understanding factors influencing...