Journal of Intelligent & Fuzzy Systems - Volume 34, issue 1

Authors: Zhang, Haiqing | Wang, Tao | Li, Daiwei | Bouras, Abdelaziz | Xiong, Xi | Qiao, Shaojie

Article Type: Research Article

Abstract: The proper expression of the potentially useful but hidden information in large-scale datasets via using proper structure is vital important in both theory and applications of advanced pattern mining. The fundamental challenges are how to alleviate the mining combinatorial explosion problem and ensure the efficiency of mining results. However, most of the existing algorithms have not been entirely capable of solving these issues due to the fact that enormous number of candidate patterns has been generated and the weight constraints of items were only considered in crisp values. In order to generate more practical patterns in the new proposed Fuzzy …Supplement Frequent Pattern (FSFP), base-(second-order-effect) pattern structure is proposed and new pruning strategies including pattern-aware dynamic base pattern search strategy and FSFP-array technique are given. Thus, the proposed maximal FSFPs mining algorithm guarantees efficient mining performance by scanning the dataset only once, preventing overheads of pattern extraction based on the pruning strategies, and adopting fuzzy weight conditions to enhance the dependability of mining results. The extensive experimental results obtained from nine benchmark datasets indicate that our algorithm has outstanding performance in comparison to PADS and FPMax* algorithms. Show more

Keywords: Frequent pattern mining, fuzzy weight conditions, pattern-awareness, dynamic base pattern search

DOI: 10.3233/JIFS-17092

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 1, pp. 141-152, 2018

Authors: Chen, Li | Zhou, Shuisheng | Zhang, Zhuan

Article Type: Research Article

Abstract: Non-convex optimization problems with multiple local optima are frequently encountered in machine learning. Graduated optimization algorithm (GOA) is a popular method for obtaining the global optima of non-convex problems by minimizing a sequence of locally strong convex functions that smooth the original non-convex problem with increasing approximation. Recently, GradOpt, a GOA-based algorithm, has demonstrated remarkable theoretical and experimental results. However, to optimize problems consisting of both convex and non-convex parts, GradOpt considers the entire objective function as a single non-convex function, leading to significant gaps between the smoothed and original functions. In this study, we propose two new algorithms: SVRG-GOA …and PSVRG-GOA. They gradually smooth the non-convex part of the problem and then minimize the smoothed function using either the stochastic variance reduced gradient (SVRG) or proximal SVRG (Prox-SVRG) method. Both the algorithms are proven to have lower iteration complexity (O  (1/ɛ )) than GradOpt (O  (1/ɛ 2 )). Some tricks, such as larger shrinkage factor, projection step, stochastic gradient, and mini-batch skill are also applied to accelerate convergence of the proposed algorithms. Experimental results illustrate that two new algorithms with similar performance can converge to the "global" optima of a non-convex problem comparatively faster than GradOpt or non-convex Prox-SVRG. Show more

Keywords: Non-convex optimization problem, global optima, stochastic variance reduced gradient, graduated optimization

DOI: 10.3233/JIFS-171019

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 1, pp. 153-165, 2018

Authors: Yang, Zhanpeng | Ren, Wenjuan

Article Type: Research Article

Abstract: We consider the initial value problem of quaternion fuzzy fractional differential equations in the generalized regular fuzzy function space. By the associate space theorem and fixed point theorem, some results on the existence and stability for the solution of the initial value problem are given. By the fixed point method, we also prove the Hyers–Ulam stability for the solution of the abstract Cauchy problem under some suitable conditions.

Keywords: Quaternion fuzzy fractional differential equation, associate space, generalized regular function, Hyers–Ulam stability

DOI: 10.3233/JIFS-171042

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 1, pp. 167-175, 2018

Authors: Tian, Zhang-Peng | Wang, Jian-Qiang | Zhang, Hong-Yu

Article Type: Research Article

Abstract: Market segment evaluation and selection (MSE/MSS) become one of the most essential elements in marketing practices of enterprises, since they assist enterprises in developing homogeneous market segments. In this paper, a hybrid single-valued neutrosophic multi-criteria group decision-making (MCGDM) approach with quality function deployment (QFD) is used to support the MSE/MSS process. Firstly, single-valued neutrosophic numbers are used to represent the decision-makers’ qualitative assessments. Secondly, an extended QFD is used to translate the customer requirements (CRs) into relevant design requirements (DRs), and a single-valued neutrosophic DEMATEL (DEcision-MAking Trial and Evaluation Laboratory) is used to determine the importance weights of CRs and …DRs. Thirdly, a single-valued neutrosophic TODIM (An acronym in Portuguese of interactive and multi-criteria decision-making) is employed to rank all the alternatives. Subsequently, a case study of MSE/MSS of a smart bike-sharing company is presented. Finally, some valuable managerial suggestions are provided through the results of sensitivity analysis and comparative analysis. Show more

Keywords: Multi-criteria decision-making, single-valued neutrosophic set, quality function deployment, DEMATEL, TODIM

DOI: 10.3233/JIFS-171055

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 1, pp. 177-187, 2018

Authors: Cheng, Rong | Ma, Weimin | Ke, Hua

Article Type: Research Article

Abstract: Store brands are of great importance for the retailing industry in profitability. Abundant research is thus attracted to investigate the impacts of store brands on supply chains. However, the research is all conducted in the settings with certain information or historical data. As a matter of fact, for a retailer, initiating a store brand is just like the first time people eat a crab. Specifically, the related market information (the price competing intensity between store brands and national brands and the market base for store brands) is usually uncertain for retailers. Consequently, experienced experts are often invited to make estimation …when marketing managers make decisions on pricing store brands. To deal with the estimated uncertain information, uncertainty theory is employed to build three uncertain programming models under three channel power structures. Accordingly, we provide pricing decisions and corresponding equilibrium results, and thus shed light on how store-brand introduction affects all the supply chain players and the whole channel differently under different power structures. It is found that the more powerful the national-brand manufacturers are, the more inclined they will suffer from the store-brand introduction; on the contrast, retailers with different power positions always benefit from the store-brand introduction and may behave differently when pricing the national brand markups after the store-brand introduction. Show more

Keywords: Private label, uncertain programming, pricing decision, game theory, power structure

DOI: 10.3233/JIFS-171058

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 1, pp. 189-201, 2018

Authors: Souza, Gabriel A.F. | Santos, Rodrigo B. | Rocha Rizol, Paloma M.S. | Oliveira, Duarte L. | Faria, Lester A.

Article Type: Research Article

Abstract: A novel analog fuzzy membership function generator architecture, based on current steering mirrors, for interval type-2 fuzzy controllers is proposed in this paper. The Footprint of Uncertainty (FOU), characteristic of an interval type-2 fuzzy set, is generated by this novel architecture, which uses current steering mirrors controlled by a voltage input and allows width variation based on a central line. This main feature makes the circuit inherently type-2, i.e., not dependent of any type-1 fuzzifier, unlike all previous analog fuzzifiers found in the literature. The circuit operates in current mode and is capable of generating trapezoidal, triangular, Z-shaped and S-shaped …membership functions. Input currents allow shape configuration, whereas a digitally programmable current mirror provides different inclinations, making it fully programmable (shape, width of the FOU, inclination, and position). Simulations validating the architecture were performed with TSMC CMOS 0.18μm technology, in CADENCE software. The circuit was later fabricated and characterized. Experimental results confirmed its ability to work as a fuzzifier, with all specified features, showing to be suitable even for dedicated low power applications. Show more

Keywords: Analog circuits, low-power, fuzzifier, interval type-2 fuzzy logic

DOI: 10.3233/JIFS-171118

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 1, pp. 203-212, 2018

Authors: Luo, Minxia | Zhao, Ruirui

Article Type: Research Article

Abstract: In this paper, we propose fuzzy reasoning algorithms based on similarity for fuzzy modus ponens and fuzzy modus tollens and discuss the reducibility of the algorithms. Moreover, we investigate the robustness of fuzzy reasoning algorithms based on similarity.

Keywords: Fuzzy Modus Ponens, Fuzzy Modus Tollens, fuzzy reasoning algorithms, similarity

DOI: 10.3233/JIFS-171140

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 1, pp. 213-219, 2018

Authors: Chen, Fan-Hong | Shen, Chong | Shi, Fu-Gui

Article Type: Research Article

Abstract: In this paper, the notions of arity, Corn-union property (CUP), Join-hull commutativity (JHC) and weakly Join-hull commutativity (weakly JHC) are generalized to the fuzzy case. Also, it is proved that Corn-union property, Join-hull commutativity and weakly Join-hull commutativity L -convexities are of arity ≤2. Moreover, the CP and CC mappings between L -convexities with arity property are characterized.

Keywords: L-convexity, arity, join-hull commutativity, corn-union property, CP mapping, CC mapping

DOI: 10.3233/JIFS-171142

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 1, pp. 221-231, 2018

Authors: Long, Hoang Viet | Thao, Hoang Thi Phuong

Article Type: Research Article

Abstract: In this paper, we study nonlocal problems for fractional partial intergro-differential equations with uncertainty in the framework of partially ordered generalized metric spaces of fuzzy valued functions. Based on generalized contractive-like property over comparable items, which is weaker than the Lipschitz condition, we prove the global existence of mild solutions on the infinite domain J ∞  = [0, ∞) × [0, ∞). Moreover, Hyers-Ulam stability of this problem is given with the help of Perov-like fixed point theorem.

Keywords: Fuzzy fractional partial integro-differential equation, convergent matrix, vector-valued metric, partially ordered generalized metric spaces, gH-differentiability

DOI: 10.3233/JIFS-171145

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 1, pp. 233-244, 2018

Authors: Qu, Guohua | Qu, Weihua | Li, Chunhua

Article Type: Research Article

Abstract: In this paper, we use the Choquet integral to propose the interval-valued dual hesitant fuzzy Choquet ordered average (IVDHFCOA) operator and the interval-valued dual hesitant fuzzy Choquet ordered geometric (IVDHFCOG) operator as a new extension of existing interval-valued dual hesitant fuzzy ordered weighted average (IVDHFOWA) operator, interval-valued dual hesitant fuzzy ordered weighted geometric (IVDHFOWG) operator, dual hesitant fuzzy ordered Choquet integral average (DHFCOA) operator and dual hesitant fuzzy ordered Choquet integral geometric (DHFCOG) operator. The extended operators not only globally consider the importance of the elements or their ordered positions, but also can overall reflect their correlations. Furthermore, some desirable …properties of these operators and the relationships between them are discussed in detail. Then, two evaluation formulas of IVDHFCOA and IVDHFCOG are proposed. The considered alternatives can be ranked and the most desirable one is selected. To comparative analysis, we also apply the Ju’s method (Ju, 2014) to solve the problem based on DHFCOA operator. Finally, a comparative analysis of the two methods is used to assess the possible emerging technology enterprises. Show more

Keywords: Choquet integral, interval-valued dual hesitant fuzzy set (IVDHFS), interval-valued dual hesitant fuzzy Choquet aggregation operators

DOI: 10.3233/JIFS-171162

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 1, pp. 245-266, 2018