Journal of Intelligent & Fuzzy Systems - Volume 30, issue 2

Authors: Dey, Samir | Roy, Tapan Kumar

Article Type: Research Article

Abstract: Real world engineering design problems are usually characterized by the presence of many conflicting objectives. In this paper, we will make an approach to solve multi-objective structural model using parameterized t-norms based on fuzzy optimization programming technique. Here, binary t-norms are expressed in extended n-ary t-norms and their basic properties and some special cases have been discussed. In this structural model formulation, the objective functions are the weight of the truss and the deflection of loaded joint; the design variables are the cross-sections of the truss members; the constraints are the stresses in members. A classical truss optimization example is …presented here to demonstrate the efficiency of our proposed optimization approach. The test problem includes a three-bar planar truss subjected to a single load condition. This approximation approach is used to solve this multi-objective structural optimization model. The model is illustrated with numerical examples. Show more

Keywords: Multi-objective optimization, t-norms, fuzzy set, structural optimization

DOI: 10.3233/IFS-151819

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 971-982, 2016

Authors: Senthil, S. | Chandrakumar, R. David

Article Type: Research Article

Abstract: In this paper we introduce a new fuzzy c-means objective function called kernel induced fuzzy c-means based on Gaussian function for the purpose of segmentation of medical images. The originality of this algorithm is based on the fact that the conventional FCM-based algorithm considers no spatial content information, which makes it sensitive to noise. The new algorithm is formulated by incorporating the spatial neighbourhood information into the spatial neighbourhood into the original FCM algorithm by apriori probability and initialized by a kernel function induced histogram based FCM algorithm. The probability in the algorithm that indicates the spatial influence of the …neighbouring pixels on the centre pixel plays a key role in this algorithm and it obtains efficient method for calculating membership and updating prototypes by minimizing the new objective function of Gaussian based fuzzy c-means. The performance of proposed algorithm has been tested with medical images to reduce the inhomogeneities and to allow the labelling of a pixel to be influenced by the labels in its immediate neighbourhood. Also this paper compares the results of proposed method with the results of existing basic fuzzy c-means. Show more

Keywords: Fuzzy c-means, clustering, kernel function, Gaussian function, histogram, probability, segmentation

DOI: 10.3233/IFS-151820

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 983-990, 2016

Authors: Zhang, Jiguo | Liu, Gaofeng | Gong, Yanbing

Article Type: Research Article

Abstract: The paper recalls the definition of intuitionistic fuzzy sets and the principle of information diffusion and analyzes several existent point operators. Giving an axiomatic definition for transforming intuitionistic fuzzy sets into fuzzy sets, we deduce a new conversion operator which seeks to obtain one and only one fuzzy set for each intuitionistic set. A new distance measure is defined for intuitionistic fuzzy sets, and then the corresponding measure formula for the fuzzy entropy of intuitionistic fuzzy sets is proposed. Finally, some examples are illustrated for comparison with some existing formulae.

Keywords: Fuzzy entropy, transformation operator, distances, intuitionistic fuzzy sets, fuzzy sets

DOI: 10.3233/IFS-151821

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 991-998, 2016

Authors: Baban, Calin Florin | Baban, Marius | Suteu, Marius Darius

Article Type: Research Article

Abstract: The state of the textile machines can be evaluated by monitoring different parameters, such as vibration and temperature, so their maintenance can be performed a short time before the failure. However, the evolution of each monitored parameter can conduct to different decisions regarding the maintenance actions. Within this framework, fuzzy logic was proposed for planning the predictive maintenance activities of the textile machines. A fuzzy decision making system was developed and its effectiveness was illustrated for the planning of the predictive maintenance of a sewing machine needle. The results of the case study show fuzzy logic as a proactive approach …to perform when needed maintenance activities of textile machines. Show more

Keywords: Fault detection, parameters monitoring, fuzzy logic, predictive maintenance

DOI: 10.3233/IFS-151822

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 999-1006, 2016

Authors: Abbasi Ganji, Zainab | Sadeghpour Gildeh, Bahram

Article Type: Research Article

Abstract: Process capability indices are numerical measures used to determine whether the process products meet the quality requirement dedicated by the customers and producers or not. When the products’ quality counts on two or more correlated characteristics, multivariate process capability indices are applied. In this paper, we focus on two indices proposed by Shahriari and Abdollahzadeh (2009) and Taam et al. (1993). The traditional multivariate capability indices can’t be applied if the specification limits and target value of each characteristic are presented in a linguistic form. Instead, the fuzzy set theory is used to deal with these circumstances. Here, the fuzzy …formulations of the indices are developed. Furthermore, numerical examples are presented to illustrate the applicability of the proposed methods and we make a comparison between them. Show more

Keywords: Multivariate normal distribuition, multivariate capability index, fuzzy logic, triangular fuzzy number, trapezoidal fuzzy quantity

DOI: 10.3233/IFS-151823

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1007-1017, 2016

Authors: Liu, Bingsheng | Shen, Yinghua | Mu, Lingling | Chen, Xiaohong | Chen, Liwen

Article Type: Research Article

Abstract: In this paper, we regard the membership degree and the non-membership degree of the intuitionistic fuzzy set (IFS) as a whole and propose a new approach to measuring the correlation degree between the IFSs in finite sets. Like the computational process of the correlation coefficient between the real number variables, we first define the deviation of the intuitionistic fuzzy numbers, the variance of the IFS, and the covariance of the IFSs; then propose the formula to get the correlation coefficient between the IFSs. The proposed method not only reflects the symbol attribute of the correlation degree between the IFSs (the …value of the correlation coefficient lies in the interval [–1, 1]), but also makes sure the integrity of the IFS is maintained. Several examples are given to show the feasibility and advantages of the proposed method. Moreover, we extend this approach to the interval-valued intuitionistic fuzzy set (IVIFS) case. Show more

Keywords: Intuitionistic fuzzy set, interval-valued intuitionistic fuzzy set, correlation measurement, correlation coefficient, deviation

DOI: 10.3233/IFS-151824

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1019-1028, 2016

Authors: Zhang, Haidong | Shu, Lan | Liao, Shilong

Article Type: Research Article

Abstract: Interval-valued hesitant fuzzy rough set, defined by Zhang et al. [55], is an extension of hesitant fuzzy rough sets, interval-valued fuzzy rough sets and fuzzy rough sets. For further studying the theories and applications of interval-valued hesitant fuzzy rough sets, in this paper, we mainly investigate the topological structures of interval-valued hesitant fuzzy rough sets. Firstly, the concept of interval-valued hesitant fuzzy topological spaces is introduced by us. Then relationships between interval-valued hesitant fuzzy rough approximation spaces and interval-valued hesitant fuzzy topological spaces are further established. It is proved that the set of all lower approximation sets based on an …interval-valued hesitant fuzzy reflexive and transitive approximation space forms an interval-valued hesitant fuzzy topology; and conversely, for an interval-valued hesitant fuzzy rough topological space, there exists an interval-valued hesitant fuzzy reflexive and transitive approximation space such that the topology in the interval-valued hesitant fuzzy rough topological space is just the set of all lower approximation sets in the interval-valued hesitant fuzzy reflexive and transitive approximation space. That is to say, there exists a one-to-one correspondence between the set of all interval-valued hesitant fuzzy reflexive and transitive approximation spaces and the set of all interval-valued hesitant fuzzy rough topological spaces. Finally, a practical application is provided to illustrate the validity of the interval-valued hesitant fuzzy rough set model. Show more

Keywords: Interval-valued hesitant fuzzy set, Interval-valued hesitant fuzzy rough set, Interval-valued hesitant fuzzy topological space

DOI: 10.3233/IFS-151826

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1029-1043, 2016

Authors: Yang, Hai-Long | Guo, Zhi-Lian | She, Yanhong | Liao, Xiuwu

Article Type: Research Article

Abstract: Smarandache initiated neutrosophic sets (NSs) which can be used as a mathematical tool for dealing with indeterminate and inconsistent information. In order to apply NSs conveniently, single valued neutrosophic sets (SVNSs) were proposed by Wang et al. In this paper, we propose single valued neutrosophic relations (SVNRs) and study their properties. The notions of anti-reflexive kernel, symmetric kernel, reflexive closure, and symmetric closure of a SVNR are introduced, respectively. Their accurate calculate formulas and some properties are explored. Some examples are also given. Finally, single valued neutrosophic relation mappings and inverse single valued neutrosophic relation mappings are introduced, and some …interesting properties are also obtained. Show more

Keywords: Single valued neutrosophic sets, single valued neutrosophic relations, kernels, closures, single valued neutrosophic relation mappings, inverse single valued neutrosophic relation mappings

DOI: 10.3233/IFS-151827

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1045-1056, 2016

Authors: Tiwari, S.P. | Yadav, Vijay K. | Dubey, M.K.

Article Type: Research Article

Abstract: The purpose of present work is to introduce and study two minimal realizations for a given fuzzy behaviour in bicategory-theoretic setup. One such realization is based on Myhill Nerode’s theory, while the other realization is based on derivative of the given fuzzy behaviour. It is shown here that there exists a unique 2-cell in bicategory of crisp deterministic fuzzy machines between both the realizations.

Keywords: Bicategory, crisp deterministic fuzzy automaton, fuzzy behaviour, minimal realization

DOI: 10.3233/IFS-151828

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1057-1065, 2016

Authors: Ghaedi, Amir | Fard, Elaheh Taherian | Fotoohabadi, Hadi | Kavousi-Fard, Farzaneh

Article Type: Research Article

Abstract: The appearance of Plug-in Electric Vehicles (PEVs) in the electric grids is providing new opportunities when some new challenges are also created. Technically, PEVs are movable loads that can benefit to both owners and utilities in case of using Vehicle-to-Grid (V2G) technology. Therefore, this article aims to investigate the Distribution Feeder Reconfiguration (DFR) effect to optimally manage PEV performance in a probabilistic framework. The proposed stochastic framework will capture the uncertainties of location of PEVs as well as driving pattern and battery State-of-Charge (SOC). In addition, a new self-adaptive evolutionary swarm algorithm based on Social Spider Optimization (SSO) algorithm is …proposed that will search the problem space globally. The simulation results on the IEEE standard test system shows the high performance of the proposed method. Show more

Keywords: Plug-in Electric Vehicle (PEV), Vehicle-to-Grid (V2G), feeder reconfiguration, Social Spider Optimization (SSO)

DOI: 10.3233/IFS-151829

Citation: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 1067-1075, 2016