Journal of Intelligent & Fuzzy Systems - Volume 37, issue 5

Authors: Borzooei, R.A. | Kim, Hee Sik | Kouhestani, N.

Article Type: Research Article

Abstract: In this paper we define the notions of a norm and a prenorm on BL -algebras and we give some methods for constructing them. We introduce (pre)metrics on BL -algebras and find some connections between them and (pre)norms. Using prenorms, we find some conditions that a BL -algebra become a metric space. Finally, we show that if there exists a prenorm on a BL -algebra A , then for any filter F in A , there are topologies U and V on A and on A /F …respectively such that ( A , U ) and ( A / F , V ) are (semi)topological BL -algebras. Show more

Keywords: (Semi)topological BL-algebra, prenorm, norm, premetric, metric space

DOI: 10.3233/JIFS-190988

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 5, pp. 6959-6969, 2019

Authors: Ye, Qinghao | Tu, Daijian | Qin, Feiwei | Wu, Zizhao | Peng, Yong | Shen, Shuying

Article Type: Research Article

Abstract:  Traditional clinical diagnostic aid systems for medical images are facing challenges of reliability and interpretability. Artificial intelligence has the potential to bring driving changes to disease diagnosis methods through rapid traversal of medical images and efficient classification. However, the application of artificial intelligence in the field of medical image still faces challenges. Our method combines the multiple modalities of attention which consider the most discriminative part in the images. The proposed classification method is tested on the microscopic image dataset with 40 leukocyte categories, which achieves top-1 accuracy of 84.21% and top-5 accuracy of 99.44% during the testing procedure. And …experiments on the dermoscopic image dataset show that our method has good generalization ability across multiple imaging modalities. Show more

Keywords: Leukocyte, image processing, deep learning, dual attention, few-shot learning

DOI: 10.3233/JIFS-191000

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 5, pp. 6971-6982, 2019

Authors: Liu, Bingsheng | Chen, Yuan | Shen, Yinghua | Yin, Xianfei

Article Type: Research Article

Abstract: Investigating clusters of experts is an interesting topic in the large-group decision-making (LGDM) problem, since being familiar with patterns (groups) of experts is beneficial to some other actions needed for decision-making (e.g., reconciliation of opinions derived from different expert groups). However, not too much attention has been paid to expert clustering in the LGDM problem under a linguistic environment. Besides, it seems that only the decision information is utilized to group experts while the auxiliary (outside) knowledge (e.g., expertise and occupation) about these experts has not been fully considered during the clustering process. To address this issue, this study proposes …a hybrid method integrating outside knowledge about experts with practical preference information under the interval-valued linguistic environment to cluster experts. The method consists of four elements: pre-clustering of experts according to the given knowledge, the optimization model to transform the interval-valued 2-tuple linguistic (IV2TL) decision information, the data envelopment analysis-discriminant analysis (DEA-DA) model to deal with a two-cluster issue, and iterative clustering based on the DEA-DA model to cluster experts into multiple clusters. The feasibility and validity of the proposed method are illustrated with a real-world example. A comparison with the maximal tree clustering method in the linguistic environment is provided. Show more

Keywords: Large-group decision-making (LGDM), interval-valued 2-tuple linguistic (IV2TL) representation model, outside knowledge, expert clustering

DOI: 10.3233/JIFS-191092

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 5, pp. 6983-7001, 2019

Authors: Liu, Zhengmin | Li, Lin | Wang, Xinya | Liu, Peide

Article Type: Research Article

Abstract:  A normal wiggly hesitant fuzzy set (NWHFS) is viewed as a powerful and useful tool to dig the potential uncertainty of decision makers (DMs) in the process of expressing their preferences, which can be regarded as an extended form of the traditional hesitant fuzzy set (HFS). The NWHFSs have the ability of both reserving the original hesitant fuzzy information completely and exploring potential fuzziness of DMs, which assist the DMs in advancing the decision-making efficiency and derive the reasonable ranking orders finally. To fully exert the strengths of the combined power average and Muirhead mean operators, based on the proposed …distance measure of normal wiggly hesitant fuzzy elements (NWHFEs), we extend the power Muirhead mean (PMM) to the normal wiggly hesitant fuzzy environment and develop the normal wiggly hesitant fuzzy PMM (NWHFPMM) and its weighted form included. After that, several representative cases and attractive properties of the proposed normal wiggly hesitant fuzzy operators are investigated in depth. Finally, a novel MADM method for solving normal wiggly hesitant fuzzy decision-making problems is developed, then a numerical example is performed to analyze the strengths of our proposed method, which in the way of comparing with other existing studies. Show more

Keywords: Normal wiggly hesitant fuzzy sets, power average, Muirhead mean, multiple-attribute decision making

DOI: 10.3233/JIFS-191110

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 5, pp. 7003-7023, 2019

Authors: Wei, Cun | Wu, Jiang

Article Type: Research Article

Abstract: Recently, the TODIM (an acronym in Portuguese for Interactive Multi-criteria Decision Making) method, which can characterize the decision makers’ psychological behaviors under risk, has been introduced to handle multiple attribute group decision making (MAGDM) problems. Moreover, the probabilistic linguistic term sets (PLTSs) are effective tool for depicting uncertainty of the MAGDM problems. In this paper, we extend the TODIM method to the MAGDM with PLTSs. Firstly, the definition, comparative method and distance of PLTSs are simply introduced, and the steps of the classical TODIM method for MAGDM problems are presented. Then, on the basis of the conventional TODIM method, the …extended TODIM method is proposed to deal with MAGDM problems in which the attribute values are depicted in the PLTSs, and its significant characteristic is that it can fully consider the decision makers’ bounded rationality which is a real action in decision making. Finally, a numerical example for green supplier selection is proposed to verify the developed approach and its practicality and effectiveness. Show more

Keywords: Multiple attribute group decision making (MAGDM), probabilistic linguistic term sets (PLTSs), TODIM method, Prospect theory, green supplier selection

DOI: 10.3233/JIFS-191164

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 5, pp. 7025-7037, 2019

Authors: Satpathy, Sambit | Prakash, M. | Debbarma, Swapan | Sengupta, Aditya S. | Bhattacaryya, Bidyut K.

Article Type: Research Article

Abstract: Nowadays there are lots of fatal diseases are growing at a rapid rate. We consider about four primary diseases like jaundice, diabetes mellitus, yellow fever, and cholera. In this paper, we design a novel method with the help of fuzzy and FPGA system for prediction multiple diseases in a rural area. Association rule mining technique helps to define fuzzy rules, which implemented on both Spartan3-E and Artix-7 FPGA kit. Due to this implementation, it is easier to design a cost-effective and portable system for multi-disease prediction. The innovation lies in design a low power FPGA and meticulousness method for identification, …prediction of four fatal diseases. The whole plan has tested on Xilinx and Cadence tool for generating RTL model and Layout design. Show more

Keywords: Fuzzy logic, medical diagnosis, association rule mining, Artix-7, FPGA

DOI: 10.3233/JIFS-181577

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 5, pp. 7039-7046, 2019

Authors: Nasseri, Seyed Hadi | Khatir, Mehdi Ahmadi

Article Type: Research Article

Abstract: This paper organizes a two-stage DEA models by taking into account undesirable output with fuzzy stochastic data. A normal distribution with fuzzy component adopted for inputs, intermediate outputs, desirable and undesirable outputs. We propose, finally, a linear and feasible model in deterministic form. To achieve this aim, a possibility-probability approach is applied on a reform of two-stage DEA models occupied with undesirable outputs. A case study in the banking industry is presented to exhibit the efficacy of the procedures and demonstrate the applicability of the proposed model. AMS Mathematics Subject Classification (2000): 62A86, 90C70

Keywords: Data envelopment analysis, Two-stage, Undesirable output, Fuzzy random variable, Efficiency score

DOI: 10.3233/JIFS-181684

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 5, pp. 7047-7057, 2019

Authors: Li, Huimin | Su, Limin | Cao, Yongchao | Lv, Lelin

Article Type: Research Article

Abstract: Pythagorean fuzzy sets (PFSs), as an extension of intuitionistic fuzzy sets (IFSs) for dealing with uncertainty information, have attracted considerable attention in the decision-making area. The Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) method is one of the most popular decision-making approaches. In the TOPSIS method, the desired alternative should have not only the shortest distance from the positive ideal solution, but also the farthest distance from the negative ideal solution. Similarity measures play an important role in assessing the degree between ideal and proposal alternatives in decision-making. Thus, this paper aims to provide an extended …TOPSIS by developing new similarity measures with PFSs and applying it to multi-criteria decision-making (MCDM) problems. The main contributions of this paper are as follows: (1) development of three new similarity measures with PFSs, and investigation of their properties; (2) extension of the TOPSIS method based on the proposed similarity measures; and (3) establishment of a Pythagorean fuzzy decision-making method using the improved TOPSIS method. A case study on the selection of a project delivery system is conducted to show the applicability of the presented approach. Show more

Keywords: Pythagorean fuzzy sets, Similarity measure, Pythagorean Fuzzy TOPSIS method, Project delivery system

DOI: 10.3233/JIFS-181690

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 5, pp. 7059-7071, 2019

Authors: He, Xingxing | Li, Yingfang | Du, Limin | Qin, Keyun

Article Type: Research Article

Abstract:  The measure of the similarity between intuitionistic fuzzy sets (IFSs) is an important topic in IFSs theory. In this paper, we propose two computational formulae for similarity measures on IFSs based on a quaternary function called intuitionistic fuzzy equivalence. We first propose the concept of intuitionistic fuzzy equivalence. Then we give a computational formula for intuitionistic fuzzy equivalencies (i.e., Eq. (1)), which is obtained from combining dissimilarity functions and fuzzy equivalencies. Based on Eq. (1), we obtain two computational formulae for similarity measures on IFSs. The first one is obtained by aggregating Eq. (1). The second one is obtained by …respectively aggregating the numerator and the denominator of Eq. (1). We also examine some properties of the proposed similarity measures on IFSs. Finally, we make a comparison between the proposed similarity measures on IFSs and those existing ones in the literature through several counter-intuitive cases. Show more

Keywords: Intuitionistic fuzzy sets, Similarity measures, Dissimilarity functions, Fuzzy equivalencies, Intuitionistic fuzzy equivalencies

DOI: 10.3233/JIFS-181739

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 5, pp. 7073-7086, 2019

Authors: Qu, Guohua | An, Qianying | Qu, Weihua | Deng, Feihu | Li, Tianjiao

Article Type: Research Article

Abstract: The aim of this paper is to investigate dual hesitant fuzzy multiple attribute decision making problems where the attribute values provided by experts are expressed in dual hesitant fuzzy element, and the attribute weight is unknown. We present a new method to derive the weights of attributes and rank the preference order of alternatives based on bidirectional projection models. We introduce some notions, such as some dual hesitant fuzzy operational laws, dual hesitant fuzzy ideal point, the modules of dual hesitant fuzzy elements, and distance between two intuitionistic trapezoidal fuzzy numbers. We also introduce the cosine of the included angle …between the attribute value vectors of each alternative and the dual hesitant fuzzy ideal point. Then we establish the bidirectional projection models to measure the similarity degrees between each alternative and the dual hesitant fuzzy ideal point, and the Jaynes maximum information entropy method is used to determine the attribute weight. Furthermore, we establish a nonlinear optimization model to obtain the weight vector of attributes. Finally, we illustrate the developed projection models with a numerical example. Show more

Keywords: Dual hesitant fuzzy set, bidirectional projection measure, attribute weight

DOI: 10.3233/JIFS-181970

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 5, pp. 7087-7102, 2019

Authors: Shi, Gang | Sheng, Yuhong

Article Type: Research Article

Abstract: Backward uncertain differential equation is a specical type of differential equation driven by a Liu process. There are some concepts of stability such as stability in measure, stability in mean, stability in p -th moment, stability moment exponential and almost sure stability of backward uncertain differential equations have been proposed. As a supplement, this paper gives a concept of stability in uncertain distribution of backward uncertain differential equation. Some sufficient conditions for a backward uncertain differential equation being stable in uncertain distribution are provided. In addition, this paper further discusses their relationships among stability in uncertain distribution, stability in uncertain …measure, stability in mean and stability in p -th moment. Last, this paper discusses some examples to illustrate the theoretical considerations. Show more

Keywords: Uncertain distribution, uncertain process, backward uncertain differential equation, stability in distribution

DOI: 10.3233/JIFS-182877

Citation: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 5, pp. 7103-7110, 2019