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Some q-rung orthopair linguistic Heronian mean operators with their application to multi-attribute group decision making

Li Li Runtong Zhang Jun Wang Xiaopu Shang
Archives of Control Sciences | 2018 | vol. 28 | No 4 | 551-583 | DOI: 10.24425/acs.2018.125483
Keywords q-rung orthopair fuzzy set q-rung orthopair linguistic set Heronian mean q-rung orthopair linguistic Heronian mean multi-attribute group decision making
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Abstract

The recently proposed q-rung orthopair fuzzy set (q-ROFS) characterized by a membership degree and a non-membership degree is powerful tool for handling uncertainty and vagueness. This paper proposes the concept of q-rung orthopair linguistic set (q-ROLS) by combining the linguistic term sets with q-ROFSs. Thereafter, we investigate multi-attribute group decision making (MAGDM) with q-rung orthopair linguistic information. To aggregate q-rung orthopair linguistic numbers ( q-ROLNs), we extend the Heronian mean (HM) to q-ROLSs and propose a family of q-rung orthopair linguistic Heronian mean operators, such as the q-rung orthopair linguistic Heronian mean (q-ROLHM) operator, the q-rung orthopair linguistic weighted Heronian mean (q-ROLWHM) operator, the q-rung orthopair linguistic geometric Heronian mean (q-ROLGHM) operator and the q-rung orthopair linguistic weighted geometric Heronian mean (q-ROLWGHM) operator. Some desirable properties and special cases of the proposed operators are discussed. Further, we develop a novel approach to MAGDM within q-rung orthopair linguistic context based on the proposed operators. A numerical instance is provided to demonstrate the effectiveness and superiorities of the proposed method.

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Authors and Affiliations

Li Li
Runtong Zhang
Jun Wang
Xiaopu Shang

A spherical fuzzy correlation coefficient based on statistical viewpoint with its applications in classification and bidirectional approximate reasoning

Abdul Haseeb Ganie Debashis Dutta
Archives of Control Sciences | 2024 | vol. 34 | No 1 | 63-82 | DOI: 10.24425/acs.2024.149652
Keywords correlation coefficient fuzzy set picture fuzzy set spherical fuzzy sets pattern recognition bidirectional approximate reasoning
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Abstract

Spherical fuzzy sets are more powerful in modelling the uncertain situations than picture fuzzy sets, fermatean fuzzy sets, Pythagorean fuzzy sets, intuitionistic fuzzy sets, and fuzzy sets. In this paper, we first define the variance and covariance of spherical fuzzy sets. Then, using variance and covariance, we define the unique spherical fuzzy set correlation metric in line with the statistical coefficient of correlation. Two spherical fuzzy sets are correlated in both direction and strength using the provided measure of correlation. We discussed its many characteristics. We compared the measure of correlation with the current ones through linguistic variables. We established its validity by showing its application in bidirectional approximate reasoning. We also resolve a pattern identification issue in the spherical fuzzy environment using the provided correlation function, and we compare the results with several current measurements.
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Authors and Affiliations

Abdul Haseeb Ganie
1
ORCID: ORCID
Debashis Dutta
1
ORCID: ORCID
  1. Department of Mathematics, National Institute of Technology, Warangal506004, Telangana, India

Fuzzy logic in indoor position determination system

Michał Socha Wojciech Górka Iwona Kostorz
Theoretical and Applied Informatics | 2015 | vol. 27 | No 2 | 1-15
Keywords WiFi indoor location fuzzy sets
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Abstract

The article outlines how to use the convergence of collections to determine the position of a mobile device based on the WiFi radio signal strength with the use of fuzzy sets. The main aim is the development of the method for indoor position determination based on existing WiFi network infrastructure indoors. The approach is based on the WiFi radio infrastructure existing inside the buildings and requires operating mobile devices such as smartphones or tablets. An SQL database engine is also necessary as a widespread data interface. The SQL approach is not limited to the determination of the position but also to the creation of maps in which the system dening the position of the mobile device will operate. In addition, implementation issues are presented along with the distribution of the burden of performing calculations and the benets of such an approach for determining the location. The authors describe how to decompose the task of determining the position in a client-server architecture.

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Authors and Affiliations

Michał Socha
Wojciech Górka
Iwona Kostorz

On mathematical descriptions of uncertain parameters in engineering structures

J. Pełczyński
Archives of Civil Engineering | 2018 | Vol. 64 | No 4/II | 3-19
Keywords uncertainty convex set interval probability fuzzy set
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Abstract

Civil engineering is one of the many fields of occurrences of uncertain parameters. The present paper in an attempt to present and describe the most common methods used for inclusions of uncertain parameters . These methods can be applied in the area of civil engineering as well as for a larger domain. Definitions and short explanations of methods based on probability, interval analysis, fuzzy sets, and convex sets are presented. Selected advantages, disadvantages, and the most common fields of implementation are indicated.

An example of a cantilever beam presented in this paper shows the main differences between the methods. Results of the performed analysis indicate that the use of convex sets allows us to obtain an accuracy of results similar to stochastic models. At the same time, the computational speed characteristic for interval methods is maintained.

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Authors and Affiliations

J. Pełczyński

Technical assessment of old buildings by fuzzy approach

J. Konior
Archives of Civil Engineering | 2019 | Vol. 65 | No 1 | 129-142
Keywords building technical wear defects fuzzy sets
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Abstract

A group of old apartment houses with the age over 100 years (that is those carried out before the First World War) takes an important place in polish building resources. Technical maintenance of apartment houses, traditional methods erected, is nowadays and will be a valid problem in the nearest future. The results of the work refer to the general population, estimated for 600 objects, that is about 20% of municipal downtown apartment houses in Wrocław.

The purpose of the research was to identify an influence of widely considered maintenance of apartment houses on a degree and intensity of their elements’ deterioration. The goal of the work has been fulfilled by symptoms’ analysis of declining of inspected elements’ exploitation values, that is identification of mechanics of their defects arising.

The range of the work has required creation of original qualitative model of pinpointed defects and its transfer into quantitative one. It has made possible to analyse the reason - effect phenomena „defect - technical wear” relevant to the most important elements of Wroclaw downtown district’s apartment houses. The research procedure has been conducted in accordance of fuzzy sets theory which made possible to describe qualitative model of pinpointed defects and its transfer into a quantitative one.

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Authors and Affiliations

J. Konior

Qualitative Description of Metal Ore Deposits Parameters Based on Selected Fuzzy Logic Operators on the Example of a KGHM Polish Copper S.A. Copper-Silver Mine

Mariusz Krzak Paweł Panajew
Archives of Mining Sciences | 2019 | vol. 64 | No 2 | 261-277 | DOI: 10.24425/ams.2019.128682
Keywords ore deposit parameters mineral deposit management fuzzy sets logical operator
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Abstract

The basis for a mineral deposit delimitation is a qualitative and quantitative assessment of deposit parameters, qualifying a deposit as an economically valuable object. A conventional approach to the mineral deposit recognition and a deposit detailed parameters qualification in the initial stages of development work in the KGHM were presented in the paper. The goals of such recognition were defined, which through a gradual detailed expansion, resulting from the information inflow, allows for the construction of a more complete decision-making model. The description of the deposit parameters proposed in the article in the context of fuzzy logic, enables a presentation of imprecise statements and data, which may be a complement to a traditional description. Selected non-adjustable and adjustable s-norm and t-norm operators were demonstrated. Operators effects were tested for selected ore quality parameters (copper content and deposit thickness) by constructing adequate membership functions. In a practical application, the use of chosen fuzzy logic operators is proposed for the assessment of the qualitative parameters of copper-silver ore in the exploitation blocks for one of the mines belonging to KGHM Polish Copper S.A. The considerations have been extended by including the possibility of using compensation operators.

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Authors and Affiliations

Mariusz Krzak
Paweł Panajew

Fuzzy Evaluation of the Production Strategies, Policies and Methods: Evidence from a Longitudinal Case Study

Aleksandar PESIC Duska PESIC Slavko IVKOVIC
Management and Production Engineering Review | 2024
Keywords fuzzy sets fuzzy triangular numbers production management automotive suppliers
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Abstract

This paper presents a model for evaluating production strategies, policies and methods based on fuzzy set theory. To illustrate the application of a model, the longitudinal case study was carried out in the sector of automotive components and parts production in Serbia. Within the automotive supplier industry, analysis is concentrated on the Cooper Standard company, one of the world’s most prominent component suppliers. The study was conducted with the management team of the Cooper Standard branch in Serbia. Triangular fuzzy numbers are employed to effectively evaluate the critical areas of production management and overall competitiveness over time. The findings of the empirical survey confirmed the usability and usefulness of the proposed approach. Also, the longitudinal character of this case study provided an opportunity to follow the patterns of change over a period of 5 years (2019–2024).
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Authors and Affiliations

Aleksandar PESIC
Duska PESIC
Slavko IVKOVIC

Spherical fuzzy power partitioned Maclaurin Symmetric Mean Operators and their application in Multiple Attribute Group Decision Making

Huiyuan Zhang Qiang Cai Guiwu Wei
Archives of Control Sciences | 2023 | vol. 33 | No 1 | 179-238 | DOI: 10.24425/acs.2023.145119
Keywords spherical fuzzy sets partitioned Maclaurin symmetric mean operator power average operator multiple attribute group decision making
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Abstract

Spherical fuzzy sets (SFSs) provide more free space for decision makers (DMs) to express preference information from four aspects: approval, objection, abstention and refusal. The partitioned Maclaurin symmetric mean (PMSM) operator is an effective information fusion tool, which can fully capture the interrelationships among any multiple attributes in the same block whereas attributes in different block are unrelated. Therefore, in this paper,we first extendPMSM operator to spherical fuzzy environment and develop spherical fuzzy PMSM (SFPMSM) operator as well as spherical fuzzy weighted PMSM (SFWPMSM) operator. Meanwhile, we discuss some properties and special cases of these two operators. To diminish the impact of extreme evaluation values on decision-making results, then we integrate power average (PA) operator and PMSM operator to further develop spherical fuzzy power PMSM (SFPPMSM) operator and spherical fuzzy weighted power PMSM (SFWPPMSM) operator and also investigate their desirable properties. Subsequently, a new multiple attribute group decision making (MAGDM) method is established based on SFWPPMSM operator under spherical fuzzy environment. Finally, two numerical examples are used to illustrate the proposed method, and comparative analysis with the existing methods to further testy the validity and superiority of the proposed method.
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Authors and Affiliations

Huiyuan Zhang
1 2
Qiang Cai
3
Guiwu Wei
4 3
  1. School of Mathematics and Statistics, Liupanshui Normal University, Liupanshui 553004, Guizhou, P.R. China
  2. School of Mathematical Sciences, Sichuan Normal University, Chengdu, 610101, P.R. China
  3. School of Business, Sichuan Normal University, Chengdu, 610101, P.R. China
  4. School of Mathematical Sciences, Sichuan NormalUniversity, Chengdu, 610101, P.R. China

Linguistic q-rung orthopair fuzzy prioritized aggregation operators based on Hamacher t-norm and t-conorm and their applications to multicriteria group decision making

Nayana Deb Arun Sarkar Animesh Biswas
Archives of Control Sciences | 2022 | vol. 32 | No 2 | 451-484 | DOI: 10.24425/acs.2022.141720
Keywords linguistic q-rung orthopair fuzzy set multicriteria group decision making Hamacher operations prioritized aggregation operator
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Abstract

The linguistic q-rung orthopair fuzzy (L q-ROF) set is an important implement in the research area in modelling vague decision information by incorporating the advantages of q- rung orthopair fuzzy sets and linguistic variables. This paper aims to investigate the multicriteria decision group decision making (MCGDM) with L q-ROF information. To do this, utilizing Hamacher t-norm and t-conorm, some L q-ROF prioritized aggregation operators viz., L q- ROF Hamacher prioritized weighted averaging, and L q-ROF Hamacher prioritized weighted geometric operators are developed in this paper. The defined operators can effectively deal with different priority levels of attributes involved in the decision making processes. In addition, Hamacher parameters incorporated with the proposed operators make the information fusion process more flexible. Some prominent characteristics of the developed operators are also wellproven. Then based on the proposed aggregation operators, an MCGDM model with L q-ROF context is framed. A numerical example is illustrated in accordance with the developed model to verify its rationality and applicability. The impacts of Hamacher and rung parameters on the achieved decision results are also analyzed in detail. Afterwards, a comparative study with other representative methods is presented in order to reflect the validity and superiority of the proposed approach.
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Authors and Affiliations

Nayana Deb
1
Arun Sarkar
2
Animesh Biswas
1
  1. Department of Mathematics, University of Kalyani, Kalyani – 741235, India
  2. Department of Mathematics, Heramba Chandra College, Kolkata – 700029, India

Evaluation of medical service quality based on a novel multi-criteria decision-making method with unknown weighted information

Butian Zhao Runtong Zhang Yuping Xing
Archives of Control Sciences | 2021 | vol. 31 | No 3 | 645-685 | DOI: 10.24425/acs.2021.138696
Keywords interval-valued q-rung dual hesitant fuzzy set Maclaurin symmetric mean operator multi-criteria decision-making aggregation operators
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Abstract

In modern society, people concern more about the evaluation of medical service quality. Evaluation of medical service quality is helpful for medical service providers to supervise and improve their service quality. Also, it will help the public to understand the situation of different medical providers. As a multi-criteria decision-making (MCDM) problem, evaluation of medical service quality can be effectively solved by aggregation operators in interval-valued q-rung dual hesitant fuzzy (IVq-RDHF) environment. Thus, this paper proposes interval-valued q-rung dual hesitant Maclaurin symmetric mean (IVq-RDHFMSM) operator and interval-valued q-rung dual hesitant weighted Maclaurin symmetric mean (IVq-RDHFWMSM) operator. Based on the proposed IVq-RDHFWMSM operator, this paper builds a novel approach to solve the evaluation problem of medical service quality including a criteria framework for the evaluation of medical service quality and a novel MCDM method. What’s more, aiming at eliminating the discordance between decision information and weight vector of criteria determined by decisionmakers (DMs), this paper proposes the concept of cross-entropy and knowledge measure in IVq-RDHF environment to extract weight vector from DMs’ decision information. Finally, this paper presents a numerical example of the evaluation of medical service for hospitals to illustrate the availability of the novel method and compares our method with other MCDM methods to demonstrate the superiority of our method. According to the comparison result, our method has more advantages than other methods.
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Authors and Affiliations

Butian Zhao
1
Runtong Zhang
1
Yuping Xing
2
  1. School of Management and Economic, Beijing Jiaotong University, Beijing, 100044, China
  2. Glorious Sun School of Business and Management, DongHua University, Shanghai, 200051, China

Multi-attribute decision-making based on q-rung dual hesitant power dual Maclaurin symmetric mean operator and a new ranking method

Li Li Jun Wang Chunliang Ji
Archives of Control Sciences | 2022 | vol. 32 | No 3 | 627-658 | DOI: 10.24425/acs.2022.142852
Keywords q-rung dual hesitant fuzzy sets power geometric dual Maclaurin symmetric mean power dual Maclaurin symmetric mean multi-attribute decision-making
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Abstract

The ability of q-rung dual hesitant fuzzy sets (q-RDHFSs) in dealing with decision makers’ fuzzy evaluation information has received much attention. This main aim of this paper is to propose new aggregation operators of q-rung dual hesitant fuzzy elements and employ them in multi-attribute decision making (MADM). In order to do this, we first propose the power dual Maclaurin symmetric mean (PDMSM) operator by integrating the power geometric (PG) operator and the dual Maclaurin symmetric mean (DMSM). The PG operator can reduce or eliminate the negative influence of decision makers’ extreme evaluation values, making the final decision results more reasonable. The DMSM captures the interrelationship among multiple attributes. The PDMSM takes the advantages of both PG and DMSM and hence it is suitable and powerful to fuse decision information. Further, we extend the PDMSM operator to q-RDHFSs and propose q-rung dual hesitant fuzzy PDMSM operator and its weighted form. Properties of these operators are investigated. Afterwards, a new MADM method under q-RDHFSs is proposed on the basis on the new operators. Finally, the effectiveness of the new method is testified through numerical examples.
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Authors and Affiliations

Li Li
1
Jun Wang
2
ORCID: ORCID
Chunliang Ji
3
  1. School of Economics and Management, Beihang University, Beijing 100191, China
  2. School of Economics and Management, Beijing University of Chemical Technology, Beijing 100029, China
  3. School of Economics and Management, Beijing Jiaotong University, Beijing100044, China

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