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20 pages, 622 KiB

Open AccessArticle

Multiplicative Consistent q-Rung Orthopair Fuzzy Preference Relations with Application to Critical Factor Analysis in Crowdsourcing Task Recommendation

by Xicheng Yin and Zhenyu Zhang

Axioms 2023, 12(12), 1122; https://doi.org/10.3390/axioms12121122 - 14 Dec 2023

Viewed by 854

Abstract

This paper presents a group decision-making (GDM) method based on q-rung orthopair fuzzy preference relations (q-ROFPRs). Firstly, the multiplicative consistent q-ROFPRs (MCq-ROFPRs) and the normalized q-rung orthopair fuzzy priority weight vectors (q-ROFPWVs) are introduced. Then, to obtain q-ROFPWVs, a goal programming model under [...] Read more.

This paper presents a group decision-making (GDM) method based on q-rung orthopair fuzzy preference relations (q-ROFPRs). Firstly, the multiplicative consistent q-ROFPRs (MCq-ROFPRs) and the normalized q-rung orthopair fuzzy priority weight vectors (q-ROFPWVs) are introduced. Then, to obtain q-ROFPWVs, a goal programming model under q-ROFPRs is established to minimize their deviation from the MCq-ROFPRs and minimize the weight uncertainty. Further, a group goal programming model of ideal MCq-ROFPRs is constructed to obtain the expert weights using the compatibility measure between the ideal MCq-ROFPRs and the individual q-ROFPRs. Finally, a GDM method with unknown expert weights is solved by combining the group goal programming model and the simple q-rung orthopair fuzzy weighted geometric (Sq-ROFWG) operator. The effectiveness and practicality of the proposed GDM method are verified by solving the crucial factors in crowdsourcing task recommendation. The results show that the developed GDM method effectively considers the important measures of experts and identifies the crucial factors that are more reliable than two other methods. Full article

(This article belongs to the Special Issue Advances in Fuzzy Preference Relations and Decision-Making Methods with Applications)

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20 pages, 383 KiB

Open AccessArticle

Decomposition of Fuzzy Relations: An Application to the Definition, Construction and Analysis of Fuzzy Preferences

by María Jesús Campión, Esteban Induráin and Armajac Raventós-Pujol

Axioms 2023, 12(12), 1077; https://doi.org/10.3390/axioms12121077 - 24 Nov 2023

Viewed by 881

Abstract

In this article, we go deeper into the study of some types of decompositions defined by triangular norms and conorms. We work in the spirit of the classical Arrovian models in the fuzzy setting and their possible extensions. This allows us to achieve [...] Read more.

In this article, we go deeper into the study of some types of decompositions defined by triangular norms and conorms. We work in the spirit of the classical Arrovian models in the fuzzy setting and their possible extensions. This allows us to achieve characterizations of existence and uniqueness for such decompositions. We provide rules to obtain them under some specific conditions. We conclude by applying the results achieved to the study of fuzzy preferences. Full article

(This article belongs to the Special Issue Advances in Fuzzy Preference Relations and Decision-Making Methods with Applications)

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17 pages, 706 KiB

Open AccessArticle

A New Framework for Sustainable Supplier Selection Based on a Plant Growth Simulation Algorithm

by Jing Li and Weizhong Wang

Axioms 2023, 12(11), 1017; https://doi.org/10.3390/axioms12111017 - 28 Oct 2023

Viewed by 794

Abstract

With the intensification of global competition and the increasing awareness of reducing energy consumption, sustainable supplier selection is crucial for establishing a solid cooperative relationship in sustainable supply chain management. This paper proposes a new framework that considers both the effective expression of [...] Read more.

With the intensification of global competition and the increasing awareness of reducing energy consumption, sustainable supplier selection is crucial for establishing a solid cooperative relationship in sustainable supply chain management. This paper proposes a new framework that considers both the effective expression of uncertain information and the objective weights of decision makers to select sustainable suppliers. We first apply an interval-valued intuitionistic fuzzy set to express the information of decision makers. Moreover, this paper applies a plant growth simulation algorithm to aggregate decision makers’ information. Next, we adopt the similarity measure method to derive the target weight of each decision maker. Then, we apply the score function to rank the candidate sustainable suppliers. Finally, two practical cases are presented to verify the effectiveness of the proposed framework. The outcomes and comparative discussion show that the developed framework is efficient for sustainable supplier selection. Therefore, the proposed framework can be used to establish a solid cooperative relationship in the process of sustainable supply chain management. Full article

(This article belongs to the Special Issue Advances in Fuzzy Preference Relations and Decision-Making Methods with Applications)

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16 pages, 1628 KiB

Open AccessArticle

Optimizing Material Selection with Fermatean Fuzzy Hybrid Aggregation Operators

by Vladimir Simic, Waseem Ahmad, Srishti Dikshit, Bandar Bin-Mohsin, Mohd Sadim and Mohd Anjum

Axioms 2023, 12(10), 984; https://doi.org/10.3390/axioms12100984 - 18 Oct 2023

Viewed by 1039

Abstract

In the pursuance of engineering excellence and sustainable practices, the optimization of material selection processes plays a crucial role. Using Fermatean fuzzy aggregation Operators (AOs), this study introduces an innovative method for improving material selection procedures. Combining the advantages of Fermatean fuzzy set [...] Read more.

In the pursuance of engineering excellence and sustainable practices, the optimization of material selection processes plays a crucial role. Using Fermatean fuzzy aggregation Operators (AOs), this study introduces an innovative method for improving material selection procedures. Combining the advantages of Fermatean fuzzy set (FrFS) and AOs, the proposed method enables a comprehensive evaluation of materials based on multiple criteria. The authors propose two operators: the “Fermatean fuzzy hybrid weighted arithmetic geometric aggregation (FrFHWAGA) operator” and the “Fermatean fuzzy hybrid ordered weighted arithmetic geometric aggregation (FrFHOWAGA) operator”. This method facilitates informed decision making in a number of industries by taking into account factors such as cost, durability, environmental impact, and availability. This research enables engineers, designers, and decision makers to optimize material selection, resulting in more efficient, cost-effective, and sustainable solutions across multiple domains. Full article

(This article belongs to the Special Issue Advances in Fuzzy Preference Relations and Decision-Making Methods with Applications)

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23 pages, 1500 KiB

Open AccessArticle

Elevating Decision Management in Sustainable Energy Planning through Spherical Fuzzy Aggregation Operators

by Sana Shahab, Mohd Anjum, Rukhsana Kausar and Yang Yu

Axioms 2023, 12(10), 908; https://doi.org/10.3390/axioms12100908 - 24 Sep 2023

Cited by 2 | Viewed by 899

Abstract

This article introduces a novel paradigm for enhancing the administration of decisions regarding sustainable energy planning. This is achieved by deploying novel spherical fuzzy aggregation operators that have been meticulously tailored to address the inherent complexities of uncertainty and imprecision prevalent in energy [...] Read more.

This article introduces a novel paradigm for enhancing the administration of decisions regarding sustainable energy planning. This is achieved by deploying novel spherical fuzzy aggregation operators that have been meticulously tailored to address the inherent complexities of uncertainty and imprecision prevalent in energy planning datasets. These operators vastly increase the precision and efficacy of decision-making processes, thereby transforming the entire sustainable energy landscape. This study focuses predominantly on the complex domain of multi-attribute decision-making (MADM), in which the interplay of parameters is characterized by a discernible hierarchy of importance. This method generates aggregation operators based on the assignment of non-negative real values to clearly defined priority echelons, a framework known as priority degrees. This effort results in the development of two notable prioritized operators: the “spherical fuzzy prioritized averaging operator with priority degrees” and the “spherical fuzzy prioritized geometric operator with priority degrees”. The efficacy of these conceptual frameworks is vividly demonstrated through the application of extensive case studies, in which observable results clearly demonstrate their superiority over conventional methodologies. The empirical findings unequivocally demonstrate the superiority of the proposed operators, resonating with substantial performance and efficiency improvements. This study not only adds a seminal dimension to the field of sustainable energy management but also reveals a revolutionary application of spherical fuzzy aggregation operators at the forefront of effective decision-making paradigms. The seamless fusion of theoretical innovation and practical utility outlines a path forward, with transformative prospects and far-reaching implications for the sustainable energy landscape. Full article

(This article belongs to the Special Issue Advances in Fuzzy Preference Relations and Decision-Making Methods with Applications)

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16 pages, 5988 KiB

Open AccessArticle

A Novel Approach for Individual Design Perception Based on Fuzzy Inference System Training with YUKI Algorithm

by Brahim Benaissa, Masakazu Kobayashi, Keita Kinoshita and Hiroshi Takenouchi

Axioms 2023, 12(10), 904; https://doi.org/10.3390/axioms12100904 - 22 Sep 2023

Viewed by 715

Abstract

This paper presents a novel approach for individual design perception modeling using the YUKI algorithm-trained Fuzzy Inference System. The study focuses on understanding how individuals perceive design based on personality traits, particularly openness to experience, using the YUKI algorithm and Fuzzy C-means clustering [...] Read more.

This paper presents a novel approach for individual design perception modeling using the YUKI algorithm-trained Fuzzy Inference System. The study focuses on understanding how individuals perceive design based on personality traits, particularly openness to experience, using the YUKI algorithm and Fuzzy C-means clustering algorithm. The approach generates several Sugeno-type Fuzzy Inference System models to predict design perception, to minimize the Root Mean Squared Error between the model prediction and the actual design perception of participants. The results demonstrate that the suggested method offers more accurate predictions compared to the traditional Fuzzy C-means Fuzzy Inference System and Deep Artificial Neural Networks, and the Root Mean Square deviation for individual design perceptions falls within a satisfactory range of 0.84 to 1.32. The YUKI algorithm-trained Fuzzy Inference System proves effective in clustering individuals based on their level of openness, providing insights into how personality traits influence design perception. Full article

(This article belongs to the Special Issue Advances in Fuzzy Preference Relations and Decision-Making Methods with Applications)

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21 pages, 319 KiB

Open AccessArticle

Applications of Fuzzy Differential Subordination for a New Subclass of Analytic Functions

by Shahid Khan, Jong-Suk Ro, Fairouz Tchier and Nazar Khan

Axioms 2023, 12(8), 745; https://doi.org/10.3390/axioms12080745 - 28 Jul 2023

Cited by 2 | Viewed by 591

Abstract

This work is concerned with the branch of complex analysis known as geometric function theory, which has been modified for use in the study of fuzzy sets. We develop a novel operator

L_{α, λ}^{m} : A_{n} \to A_{n}

[...] Read more.

This work is concerned with the branch of complex analysis known as geometric function theory, which has been modified for use in the study of fuzzy sets. We develop a novel operator

L_{α, λ}^{m} : A_{n} \to A_{n}

in the open unit disc

Δ

using the Noor integral operator and the generalized Sălăgean differential operator. First, we develop fuzzy differential subordination for the operator

L_{α, λ}^{m}

and then, taking into account this operator, we define a particular fuzzy class of analytic functions in the open unit disc

Δ

, represented by

R_{ϝ}^{λ} (m, α, δ)

. Using the idea of fuzzy differential subordination, several new results are discovered that are relevant to this class. The fundamental theorems and corollaries are presented, and then examples are provided to illustrate their practical use. Full article

(This article belongs to the Special Issue Advances in Fuzzy Preference Relations and Decision-Making Methods with Applications)

21 pages, 349 KiB

Open AccessArticle

New Applications of Fuzzy Set Concept in the Geometric Theory of Analytic Functions

by Alina Alb Lupaş

Axioms 2023, 12(5), 494; https://doi.org/10.3390/axioms12050494 - 19 May 2023

Viewed by 750

Abstract

Zadeh’s fuzzy set theory offers a logical, adaptable solution to the challenge of defining, assessing and contrasting various sustainability scenarios. The results presented in this paper use the fuzzy set concept embedded into the theories of differential subordination and superordination established and developed [...] Read more.

Zadeh’s fuzzy set theory offers a logical, adaptable solution to the challenge of defining, assessing and contrasting various sustainability scenarios. The results presented in this paper use the fuzzy set concept embedded into the theories of differential subordination and superordination established and developed in geometric function theory. As an extension of the classical concept of differential subordination, fuzzy differential subordination was first introduced in geometric function theory in 2011. In order to generalize the idea of fuzzy differential superordination, the dual notion of fuzzy differential superordination was developed later, in 2017. The two dual concepts are applied in this article making use of the previously introduced operator defined as the convolution product of the generalized Sălgean operator and the Ruscheweyh derivative. Using this operator, a new subclass of functions, normalized analytic in U, is defined and investigated. It is proved that this class is convex, and new fuzzy differential subordinations are established by applying known lemmas and using the functions from the new class and the aforementioned operator. When possible, the fuzzy best dominants are also indicated for the fuzzy differential subordinations. Furthermore, dual results involving the theory of fuzzy differential superordinations and the convolution operator are established for which the best subordinants are also given. Certain corollaries obtained by using particular convex functions as fuzzy best dominants or fuzzy best subordinants in the proved theorems and the numerous examples constructed both for the fuzzy differential subordinations and for the fuzzy differential superordinations prove the applicability of the new theoretical results presented in this study. Full article

(This article belongs to the Special Issue Advances in Fuzzy Preference Relations and Decision-Making Methods with Applications)

20 pages, 361 KiB

Open AccessArticle

Fuzzy Differential Inequalities for Convolution Product of Ruscheweyh Derivative and Multiplier Transformation

by Alina Alb Lupaş

Axioms 2023, 12(5), 470; https://doi.org/10.3390/axioms12050470 - 13 May 2023

Viewed by 597

Abstract

In this paper, the author combines the geometric theory of analytic function regarding differential superordination and subordination with fuzzy theory for the convolution product of Ruscheweyh derivative and multiplier transformation. Interesting fuzzy inequalities are obtained by the author. Full article

(This article belongs to the Special Issue Advances in Fuzzy Preference Relations and Decision-Making Methods with Applications)

14 pages, 293 KiB

Open AccessArticle

A New Approach to Involution in Fuzzy C^★-Algebra via Functional Inequality and Python Implementation

by Ehsan Movahednia and Manuel De la Sen

Axioms 2023, 12(5), 435; https://doi.org/10.3390/axioms12050435 - 27 Apr 2023

Viewed by 743

Abstract

This article explores the stability of involution in fuzzy C

^{★}

-algebras through the use of a functional inequality. We present an approach to obtaining an approximate involution in fuzzy C

^{★}

-algebras by utilizing a fixed-point method. Moreover, for greater clarity, we [...] Read more.

This article explores the stability of involution in fuzzy C

^{★}

-algebras through the use of a functional inequality. We present an approach to obtaining an approximate involution in fuzzy C

^{★}

-algebras by utilizing a fixed-point method. Moreover, for greater clarity, we implemented Python code for the main theorem. Full article

(This article belongs to the Special Issue Advances in Fuzzy Preference Relations and Decision-Making Methods with Applications)

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