Journal of Intelligent & Fuzzy Systems - Volume 34, issue 3

Article Type: Other

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 1767-1767, 2018

Authors: Chen, Ling | Lu, Linzhang

Article Type: Research Article

Abstract: In this paper, we study the convergence of fuzzy tensors. The notions of directed paths and fuzzy directed path systems are introduced. Their convergent theorems are proposed by using cut matrices principles. Also, two algorithms for identifying the convergence of fuzzy tensors are presented. Finally, numerical examples are proposed to show the feasibility of the presented methods.

Keywords: Fuzzy tensor, directed path, fuzzy directed path system

DOI: 10.3233/JIFS-161052

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 1769-1775, 2018

Authors: Hairui, Jia | Yi, Liu | Yang, Xu

Article Type: Research Article

Abstract: On the basis of α-minimal resolution principle, an α-n(t)-ary resolution dynamic automated reasoning method—multi-ary α-ordered linear minimal resolution method is studied in lattice-valued propositional logic system LP(X) and lattice-valued first-order logic system LF(X) based on lattice implication algebra (LIA). Firstly, multi-ary α-ordered linear minimal resolution method is established in LP(X), while its theorems of both soundness and completeness are proved. Then, multi-ary α-ordered linear minimal resolution method is further established in the corresponding lattice-valued first-order logic LF(X), along with its soundness theorem, lifting lemma, and completeness theorem. Then, the validity of multi-ary α-ordered linear minimal resolution based on lattice-valued logic …is analyzed. At last, an multi-ary α-ordered linear minimal resolution algorithm in LP(X) is designed, and it is proved to be sound and complete, then it is further extended in the corresponding LF(X). This lays the foundation for the further study on α-n(t)-ary resolution dynamic automated reasoning program. Show more

Keywords: Lattice implication algebra, lattice-valued logic system, resolution dynamic automated reasoning, α-minimal resolution

DOI: 10.3233/JIFS-161187

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 1777-1789, 2018

Authors: Bagherian, Mehri

Article Type: Research Article

Abstract: Unmanned Aerial Vehicle (UAV) is an aircraft with no onboard pilot. UAV can be remotely controlled using pre-programmed flight plans. Automatic trajectory planners are an integral and critical component of advanced mission planning systems. The goal of the trajectory planning is to compute an optimal or near-optimal path satisfying UAV dynamic constraints and safety considerations. Information such as terrain data, threat information and UAV dynamic constraints should be provided beforehand and based on this information, the best trajectory should be proposed. In this paper, the 3D trajectory planning problem for a Terrain Following, Terrain Avoidance and Threat Avoidance (TF/TA/TA) mission …is considered and a fuzzy logic system is proposed to find a near optimal TF/TA/TA flight path. Then the planned trajectory is compared with the trajectories obtained from Genetic Algorithm (GA) and Particle Swarm Optimization (PSO) algorithm. Show more

Keywords: UAV, 3D trajectory planning, TF/TA/TA mission, fuzzy system

DOI: 10.3233/JIFS-161977

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 1791-1799, 2018

Authors: Tao, Zhifu | Han, Bing | Chen, Huayou | Zhu, Jiaming

Article Type: Research Article

Abstract: In this paper, a new version of distance measure for hesitant fuzzy linguistic term sets is developed. The new version of distance measure provides an objective way to handle the diverse dimensions of two HFLTSs, i.e., without shortening the HFLTS to be a linguistic interval or extending the shorter one by adding linguistic terms. The Hamming distance, the Euclidean distance and the corresponding forms are put forward. By the relationship between the distance measure and the similarity measure, some parallel similarity measures are also investigated. As applications of the proposed measures, the issues of pattern recognition, clustering analysis and multi-criteria decision …making are considered. Show more

Keywords: Distance measure, similarity measure, hesitant fuzzy linguistic term sets, pattern recognition, decision making

DOI: 10.3233/JIFS-16381

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 1801-1811, 2018

Authors: Duan, Huiming | Xiao, Xinping | Yang, Jinwei | Zeng, Bo

Article Type: Research Article

Abstract: Elliott Wave Theory has the advantages of universality and accuracy. It accurately depicts the way the stock market works and has become an important tool in securities market modeling. Elliott Wave Theory includes five rising waves and three descending waves, which have important quantitative features related to the Fibonacci series and the golden ratio. At the same time, China’s Shanghai Composite Index reflects the systemic risk of the stock market to a certain extent. If China’s Shanghai Composite Index could be accurately predicted, we could take the necessary precautions to prevent risk in the system. Therefore, this paper uses gray …model features, which are highly adaptable and can handle parameter changes. The cross-sectional data of the inflection points of the Elliott wave line are selected as the original data to fit the small sample number required for gray modeling. According to the special mapping relationship between Elliott Wave Theory and the Fibonacci sequence, by combining the important properties of the Fibonacci sequence and the golden ratio, the background value of the gray GM  (1, 1) model is optimized, the new models F 1  - GM and F 2  - GM are presented, and the important properties of the new models are studied. Finally, the Elliott wave line is drawn using the Chinese Shanghai Composite Index, and the inflection point data for the whole wave, rising waves and falling waves of the wave line are used as empirical data. The results show that the new model can choose an optimal model according to the data characteristics and is more effective. The new model can also provide new information for the forecasting of stock price indexes and provide help and reference for stock price index forecasts. Show more

Keywords: Elliott Wave Theory, Fibonacci sequence, golden ratio, grey forecasting model, Chinese stock market

DOI: 10.3233/JIFS-17108

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 1813-1825, 2018

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

Article Type: Research Article

Abstract: Interval-valued dual fuzzy set (IVDHFS), which allows the membership and non-membership degree of an element to a set represented by several possible interval-values, is considered as a powerful tool to express the hesitancy and uncertainty of objective world. In this paper, based on the Shapley Choquet integral, we propose two new operators for aggregating interval-valued dual hesitant fuzzy information: the Shapley interval-valued dual hesitant fuzzy Choquet ordered average (IVDHFSCOA) operator and the Shapley interval-valued dual hesitant fuzzy Choquet ordered geometric (IVDHFSCOG) operator. The extended operators characterize the interdependent characteristics between attributes. Furthermore, we discussed some desirable properties of these operators …and the relationships between them in detail, such as idempotency, monotonicity, boundary and commutativity. Then, a new method for multiple attribute decision making is developed based on proposed operators under interval valued dual hesitant fuzzy information. Finally, a comparative analysis of the two methods is used to assess the possible emerging technology enterprises. Show more

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

DOI: 10.3233/JIFS-171090

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 1827-1845, 2018

Authors: Bandyopadhyay, Abhirup | Kar, Samarjit

Article Type: Research Article

Abstract: This paper develops the mathematical framework and the solution of a system of type-1 and type-2 fuzzy fractional and arbitrary order dynamical systems. The theory of arbitrary order differential equation is developed with fuzzy initial values, fuzzy boundary values and fuzzy parameters. There are numerous natural phenomena which can be modelled as arbitrary order dynamical systems whose initial conditions and/or parameters may be imprecise in nature. The imprecision of initial values and/or parameters are generally modelled by fuzzy sets. Here, the concept arbitrary order dynamical systems is developed with the introduction of fuzzy fractional derivatives, fuzzy fractional partial derivatives, fuzzy …stochastic process, fuzzy stochastic random variable and fuzzy Brownian motion. The generalized L p -integrability, based on the extension of the class of differentiable and integrable fuzzy functions is applied and fuzzy arbitrary order differential equations are represented as fuzzy integral equations. A novel numerical scheme for simulations of numerical solution for fuzzy arbitrary order differential equations have also been developed. Some illustrative examples have been provided for different fuzzy type-1 and type-2 arbitrary order general dynamical systems models related to mathematical finance and problems in fluid flow. Show more

Keywords: Fuzzy fractional calculus, fuzzy arbitrary order ODE, fuzzy arbitrary order PDE, fuzzy arbitrary order SDE, numerical solutions

DOI: 10.3233/JIFS-171203

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 1847-1862, 2018

Authors: Pramanik, Tarasankar | Pal, Madhumangal | Mondal, Sukumar | Samanta, Sovan

Article Type: Research Article

Abstract: In this paper, bipolar fuzzy planar graph is defined and studied several properties. The bipolar fuzzy planar graph is defined in a very interesting way. The parameter “degree of planarity” measures the planarity of a bipolar fuzzy graph. The other relevant terms such as strong edges, bipolar fuzzy faces, strong bipolar fuzzy faces are defined here. A very close association of bipolar fuzzy planar graph is bipolar fuzzy dual graph. This is also defined and several properties of it are studied. Bipolar fuzzy planar graph and bipolar fuzzy dual graph have many applications in different fields including design of social …network, design of subway tunnel or routes, gas or oil pipelines, image segmentation, etc. Show more

Keywords: Bipolar fuzzy graphs, bipolar fuzzy multigraphs, bipolar fuzzy planar graphs, bipolar fuzzy dual graphs

DOI: 10.3233/JIFS-171209

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 1863-1874, 2018

Authors: Guada, Carely | Zarrazola, Edwin | Yáñez, Javier | Rodríguez, J. Tinguaro | Gómez, Daniel | Montero, Javier

Article Type: Research Article

Abstract: In this paper, an efficient and polynomial edge detection algorithm based on a hierarchical graph-partition approach is presented. After transforming a digital image into a graph network, the proposed algorithm proceeds by iteratively dividing the image into regions, and then transforming this hierarchical region map into a sequence of boundary maps. This allows the proposed algorithm to operate naturally with colour or hyperspectral images, as well as to detect edges at different levels of detail in a simultaneous and consistent manner. Such a sequence of edge maps can be seen as jointly approximating the different levels of detail that humans …may use when recognizing objects in an image. This idea is taken to base the evaluation methodology of the proposed algorithm, that extends the usual boundary-based evaluation methodology based on the matching of the automatic maps with a set of human ground truth, reference maps. The computational experiences carried out to benchmark the performance of the proposed algorithm over the BSDS500 dataset suggest that the proposed method attains a statistically significant better performance than some well-known detectors as Canny or Sobel. Show more

Keywords: Edge detection, hierarchical partition, graph-based approach, boundary map, benchmarking

DOI: 10.3233/JIFS-171218

Citation: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 1875-1892, 2018