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Extension, Modeling and Applications of Fuzzy Set Theory in Engineering and Science

Submission Deadline: 15 February 2022 (closed)

Guest Editors

Prof. Jun Ye, Ningbo University, China
Prof. Yanhui Guo, University of Illinois at Springfield, USA

Summary

There exist the vagueness and uncertainty of human judgments and cognitions regarding complicated real-world problems. Aiming at the practical problems of uncertainty and incompleteness, the fuzzy set proposed by Zadeh has been widely used in various fields. Due to the need for better and detailed membership functions in real science and engineering problems, the classical fuzzy sets have been extended to type-2 fuzzy sets, hesitant fuzzy sets, multi-valued fuzzy sets, cubic sets, intuitionistic fuzzy sets, Pythagorean fuzzy sets, spherical fuzzy sets, neutrosophic sets, etc. Each of them is gaining significant attention in science and engineering areas. Then, these fuzzy set theories have been used in decision making, artificial intelligence, image processing, medical diagnosis, fault diagnosis, optimization design/programming, clustering analysis, big and small data mining, engineering modeling and analysis, etc. In recent years, various fuzzy set theories have made new progress and achievements in the engineering and scientific fields.

The focus of this special issue is the extension, modeling and applications of fuzzy set theory to solve engineering and scientific problems. Articles submitted to this special issue can also be concerned with various fuzzy set theories, modeling, and applications in decision making, artificial intelligence, big and small data mining, pattern recognition, information processing, medical diagnosis, faulty diagnosis, image processing, and many other practical modeling and analysis, etc. We invite researchers to contribute original research articles and review articles, which will stimulate continuous research on various fuzzy set theories, modeling and applications to evaluate/solve engineering and scientific problems.

Keywords

Fuzzy set extension; Modeling and analysis; Engineering and scientific applications

Published Papers

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  • Open Access

    ARTICLE

    New Class of Doubt Bipolar Fuzzy Sub Measure Algebra

    Shadia Majeed Noori, Abd Ghafur Ahmad, Shuker Mahmood Khalil
    CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.1, pp. 293-300, 2023, DOI:10.32604/cmes.2022.021887
    （This article belongs to this Special Issue: Extension, Modeling and Applications of Fuzzy Set Theory in Engineering and Science)
    Abstract The ideas of ambiguous bipolar skepticism under algebra and closed skepticism ambiguous bipolar ideals and related features have been developed. The fuzzy measure ideal is described in terms of bipolar ambiguous measure algebra and bipolar skepticism, and the linkages between bipolar fuzzy measure algebra are determined. A bipolar misty ideal’s skepticism is examined. In BCW and BCL-measure algebra, homogeneous ideas and dubious pictures of fuzzy bipolar measure ideas are examined. Also, we gave the relationship between these concepts. Finally, it is given the perfect terms for an occult bipolar doubt to be a measure of ideal fuzzy bipolar closed doubt. More >

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    511

  • Open Access

    ARTICLE

    Mathematical Modeling and Evaluation of Reliability Parameters Based on Survival Possibilities under Uncertain Environment

    Alhanouf Alburaikan, Hamiden Abd El-Wahed Khalifa, Pavan Kumar, Seyedali Mirjalili, Ibrahim Mekawy
    CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.3, pp. 1943-1956, 2023, DOI:10.32604/cmes.2022.021815
    （This article belongs to this Special Issue: Extension, Modeling and Applications of Fuzzy Set Theory in Engineering and Science)
    Abstract In this article, mathematical modeling for the evaluation of reliability is studied using two methods. One of the methods, is developed based on possibility theory. The performance of the reliability of the system is of prime concern. In view of this, the outcomes for the failure are required to evaluate with utmost care. In possibility theory, the reliability information data determined from decision-making experts are subjective. The same method is also related to the survival possibilities as against the survival probabilities. The other method is the one that is developed using the concept of approximation of closed interval including the… More >

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    955

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    396

  • Open Access

    ARTICLE

    An Extended Fuzzy-DEMATEL System for Factor Analyses on Social Capital Selection in the Renovation of Old Residential Communities

    Guoshuai Sun, Xiuru Tang, Shuping Wan, Jiao Feng
    CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.2, pp. 1041-1067, 2023, DOI:10.32604/cmes.2022.021981
    （This article belongs to this Special Issue: Extension, Modeling and Applications of Fuzzy Set Theory in Engineering and Science)
    Abstract China has been promoting the renovation of old residential communities vigorously. Due to the financial pressure of the government and the sustainability of the renovation of old residential communities, public-private partnerships (PPP) have already gained attention. The selection of social capital is key to improving the efficiency of the PPP model in renovating old residential communities. In order to determine the influencing factors of social capital selection in the renovation of old residential communities, this paper aims to find an effective approach and analyze these factors. In this paper, a fuzzy decision-making and trial evaluation laboratory (fuzzy-DEMATEL) technique is extended… More >

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    415

  • Open Access

    ARTICLE

    An Integrated FCEM-AHP Approach for Borrower’s Satisfaction and Perception Analysis of Microfinance Institution

    Munawar Hassan, Shafqat Iqbal, Harish Garg, Shahbaz Gul Hassan, Yunxian Yan
    CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.1, pp. 559-584, 2023, DOI:10.32604/cmes.2022.021385
    （This article belongs to this Special Issue: Extension, Modeling and Applications of Fuzzy Set Theory in Engineering and Science)
    Abstract The main objective of this paper is to present an integrated approach to evaluate the level of satisfaction of borrowers with the products and services of microfinance institutions (MFI) at different criterion levels. For this, the study adopts the concept of FCEM (Fuzzy Comprehensive Evaluation Method) in concurrence with the AHP (Analytical Hierarchy Process). In our day-to-day situation, the researchers have made many efforts to assess the impact of Microfinance on poverty reduction, but borrowers’ satisfaction is always overlooked. Since the multiple factors impact the borrower’s satisfaction, each factor is made of different items. Thus, as the factors items increase,… More >

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    932

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    531

  • Open Access

    ARTICLE

    Cotangent Similarity Measure of Consistent Neutrosophic Sets and Application to Multiple Attribute Decision-Making Problems in Neutrosophic Multi-Valued Setting

    Angyan Tu, Jiancheng Chen, Bing Wang
    CMES-Computer Modeling in Engineering & Sciences, Vol.133, No.2, pp. 377-387, 2022, DOI:10.32604/cmes.2022.021299
    （This article belongs to this Special Issue: Extension, Modeling and Applications of Fuzzy Set Theory in Engineering and Science)
    Abstract A neutrosophic multi-valued set (NMVS) is a crucial representation for true, false, and indeterminate multi-valued information. Then, a consistent single-valued neutrosophic set (CSVNS) can effectively reflect the mean and consistency degree of true, false, and indeterminate multi-valued sequences and solve the operational issues between different multi-valued sequence lengths in NMVS. However, there has been no research on consistent single-valued neutrosophic similarity measures in the existing literature. This paper proposes cotangent similarity measures and weighted cotangent similarity measures between CSVNSs based on cotangent function in the neutrosophic multi-valued setting. The cosine similarity measures show the cosine of the angle between two… More >

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    884

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    467

  • Open Access

    ARTICLE

    Group Decision-Making Method with Incomplete Intuitionistic Fuzzy Preference Relations Based on a Generalized Multiplicative Consistent Concept

    Xiaoyun Lu, Jiuying Dong, Hecheng Li, Shuping Wan
    CMES-Computer Modeling in Engineering & Sciences, Vol.132, No.3, pp. 881-907, 2022, DOI:10.32604/cmes.2022.020598
    （This article belongs to this Special Issue: Extension, Modeling and Applications of Fuzzy Set Theory in Engineering and Science)
    Abstract Based on the analyses of existing preference group decision-making (PGDM) methods with intuitionistic fuzzy preference relations (IFPRs), we present a new PGDM framework with incomplete IFPRs. A generalized multiplicative consistent for IFPRs is defined, and a mathematical programming model is constructed to supplement the missing values in incomplete IFPRs. Moreover, in this study, another mathematical programming model is constructed to improve the consistency level of unacceptably multiplicative consistent IFPRs. For group decisionmaking (GDM) with incomplete IFPRs, three reliable sources inuencing the weights of experts are identified. Subsequently, a method for determining the weights of experts is developed by simultaneously considering… More >

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    1112

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    532

  • Open Access

    ARTICLE

    On Soft Pre-Rough Approximation Space with Applications in Decision Making

    M. El Sayed, Wadia Faid Hassan Al-shameri, M. A. El Safty
    CMES-Computer Modeling in Engineering & Sciences, Vol.132, No.3, pp. 865-879, 2022, DOI:10.32604/cmes.2022.020066
    （This article belongs to this Special Issue: Extension, Modeling and Applications of Fuzzy Set Theory in Engineering and Science)
    Abstract A soft, rough set model is a distinctive mathematical model that can be used to relate a variety of real-life data. In the present work, we introduce new concepts of rough set based on soft pre-lower and soft pre-upper approximation space. These concepts are soft pre-rough equality, soft pre-rough inclusion, soft pre-rough belonging, soft predefinability, soft pre-internal lower, and soft pre-external lower. We study the properties of these concepts. Finally, we use the soft pre-rough approximation to illustrate the importance of our method in decision-making for Chikungunya medical illnesses. In reality, the impact factors of Chikungunya’s medical infection were determined.… More >

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    1443

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    635

  • Open Access

    ARTICLE

    Aczel-Alsina Weighted Aggregation Operators of Simplified Neutrosophic Numbers and Its Application in Multiple Attribute Decision Making

    Rui Yong, Jun Ye, Shigui Du, Aqin Zhu, Yingying Zhang
    CMES-Computer Modeling in Engineering & Sciences, Vol.132, No.2, pp. 569-584, 2022, DOI:10.32604/cmes.2022.019509
    （This article belongs to this Special Issue: Extension, Modeling and Applications of Fuzzy Set Theory in Engineering and Science)
    Abstract The simplified neutrosophic number (SNN) can represent uncertain, imprecise, incomplete, and inconsistent information that exists in scientific, technological, and engineering fields. Hence, it is a useful tool for describing truth, falsity, and indeterminacy information in multiple attribute decision-making (MADM) problems. To suit decision makers’ preference selection, the operational flexibility of aggregation operators shows its importance in dealing with the flexible decision-making problems in the SNN environment. To solve this problem, this paper develops the Aczel-Alsina aggregation operators of SNNs for MADM problems in view of the Aczel-Alsina operational flexibility. First, we define the Aczel-Alsina operations of SNNs. Then, the Aczel-Alsina… More >

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    1268

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    564

  • Open Access

    ARTICLE

    Interval-Valued Neutrosophic Soft Expert Set from Real Space to Complex Space

    Faisal Al-Sharqi, Abd Ghafur Ahmad, Ashraf Al-Quran
    CMES-Computer Modeling in Engineering & Sciences, Vol.132, No.1, pp. 267-293, 2022, DOI:10.32604/cmes.2022.019684
    （This article belongs to this Special Issue: Extension, Modeling and Applications of Fuzzy Set Theory in Engineering and Science)
    Abstract A fuzzy system is a novel computing technique that accesses uncertain information by fuzzy representation. In the decision-making process, fuzzy system and soft computing are effective tools that are tolerant to imprecision, uncertainty, and partial truths. Evolutionary fuzzy systems have been developed with the appearance of interval fuzzy, dual fuzzy, hesitant fuzzy, neutrosophic, plithogenic representations, etc. Moreover, by capturing compound features and convey multi-dimensional data, complex numbers are utilized to generalize fuzzy and neutrosophic fuzzy sets. In this paper, a representation of neutrosophic soft expert systems based on the real and complex numbers in the interval form is proposed. The… More >

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    2220

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    805

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    1

  • Open Access

    ARTICLE

    A Personalized Comprehensive Cloud-Based Method for Heterogeneous MAGDM and Application in COVID-19

    Xiaobing Mao, Hao Wu, Shuping Wan
    CMES-Computer Modeling in Engineering & Sciences, Vol.131, No.3, pp. 1751-1792, 2022, DOI:10.32604/cmes.2022.019501
    （This article belongs to this Special Issue: Extension, Modeling and Applications of Fuzzy Set Theory in Engineering and Science)
    Abstract This paper proposes a personalized comprehensive cloud-based method for heterogeneous multi-attribute group decision-making (MAGDM), in which the evaluations of alternatives on attributes are represented by LTs (linguistic terms), PLTSs (probabilistic linguistic term sets) and LHFSs (linguistic hesitant fuzzy sets). As an effective tool to describe LTs, cloud model is used to quantify the qualitative evaluations. Firstly, the regulation parameters of entropy and hyper entropy are defined, and they are further incorporated into the transformation process from LTs to clouds for reflecting the different personalities of decision-makers (DMs). To tackle the evaluation information in the form of PLTSs and LHFSs, PLTS… More >

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    1967

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    968

  • Open Access

    ARTICLE

    Aggregation Operators for Interval-Valued Pythagorean Fuzzy So Set with Their Application to Solve Multi-Attribute Group Decision Making Problem

    Rana Muhammad Zulqarnain, Imran Siddique, Aiyared Iampan, Dumitru Baleanu
    CMES-Computer Modeling in Engineering & Sciences, Vol.131, No.3, pp. 1717-1750, 2022, DOI:10.32604/cmes.2022.019408
    （This article belongs to this Special Issue: Extension, Modeling and Applications of Fuzzy Set Theory in Engineering and Science)
    Abstract Interval-valued Pythagorean fuzzy so set (IVPFSS) is a generalization of the interval-valued intuitionistic fuzzy so set (IVIFSS) and interval-valued Pythagorean fuzzy set (IVPFS). The IVPFSS handled more uncertainty comparative to IVIFSS; it is the most signicant technique for explaining fuzzy information in the decision-making process. In this work, some novel operational laws for IVPFSS have been proposed. Based on presented operational laws, two innovative aggregation operators (AOs) have been developed such as interval-valued Pythagorean fuzzy so weighted average (IVPFSWA) and interval-valued Pythagorean fuzzy so weighted geometric (IVPFSWG) operators with their fundamental properties. A multi-attribute group decision-making (MAGDM) approach has been… More >

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    1965

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    832

  • Open Access

    ARTICLE

    Research on Normal Pythagorean Neutrosophic Set Choquet Integral Operator and Its Application

    Changxing Fan, Jihong Chen, Keli Hu, En Fan, Xiuqing Wang
    CMES-Computer Modeling in Engineering & Sciences, Vol.131, No.1, pp. 477-491, 2022, DOI:10.32604/cmes.2022.019159
    （This article belongs to this Special Issue: Extension, Modeling and Applications of Fuzzy Set Theory in Engineering and Science)
    Abstract We first propose the normal Pythagorean neutrosophic set (NPNS) in this paper, which synthesizes the distribution of the incompleteness, indeterminacy, and inconsistency of the Pythagorean neutrosophic set (PNS) and normal fuzzy number. We also define some properties of NPNS. For solving the decision-making problem of the non-strictly independent and interacting attributes, two kinds of NPNS Choquet integral operators are proposed. First, the NPNS Choquet integral average (NPNSCIA) operator and the NPNS Choquet integral geometric (NPNSCIG) operator are proposed. Then, their calculating formulas are derived, their properties are discussed, and an approach for solving the interacting multi-attribute decision making based on… More >

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    1518

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    903

  • Open Access

    ARTICLE

    Group Decision-Making Model of Renal Cancer Surgery Options Using Entropy Fuzzy Element Aczel-Alsina Weighted Aggregation Operators under the Environment of Fuzzy Multi-Sets

    Jing Fu, Jun Ye, Liping Xie
    CMES-Computer Modeling in Engineering & Sciences, Vol.130, No.3, pp. 1751-1769, 2022, DOI:10.32604/cmes.2022.018739
    （This article belongs to this Special Issue: Extension, Modeling and Applications of Fuzzy Set Theory in Engineering and Science)
    Abstract Since existing selection methods of surgical treatment schemes of renal cancer patients mainly depend on physicians’ clinical experience and judgments, the surgical treatment options of renal cancer patients lack their scientifical and reasonable information expression and group decision-making model for renal cancer patients. Fuzzy multi-sets (FMSs) have a number of properties, which make them suitable for expressing the uncertain information of medical diagnoses and treatments in group decision-making (GDM) problems. To choose the most appropriate surgical treatment scheme for a patient with localized renal cell carcinoma (RCC) (T1 stage kidney tumor), this article needs to develop an effective GDM model… More >

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    1488

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    849

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