Journal of Intelligent & Fuzzy Systems - Volume 27, issue 4

Authors: Verma, Rajkumar | Sharma, Bhu Dev

Article Type: Research Article

Abstract: Mathematics has evolved to study vague phenomena that do not show statistical stability. Intuitionistic fuzzy sets best represent these vague phenomena, and admit set operations that do not arise otherwise, because of the functions involved in their definition. This has greatly enriched mathematics and has potential new directions for quantitative studies and applications. There is need to define quantitative measures for contents, vagueness, distance, etc. over intuitionistic fuzzy sets. In this paper a measure of inaccuracy between two ‘intuitionistic fuzzy sets’ is introduced and studied. The measure is demonstrated to satisfy some very interesting properties, which prepare ground for applications …in multi-criteria decision making problems. We develop a method to solve multi-criteria decision making problems with the help of new measure. Finally, three numerical examples are given to illustrate the proposed method to solve multi-criteria decision-making problem under intuitionistic fuzzy environment. Show more

Keywords: Shannon's entropy, divergence measure, inaccuracy measure, fuzzy inaccuracy, intuitionistic fuzzy set

DOI: 10.3233/IFS-141148

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 4, pp. 1811-1824, 2014

Authors: Luo, Lin | Su, Hongye | Zheng, Baofen | Zhang, Junfeng

Article Type: Research Article

Abstract: In many applications of kernel method, such as support vector machine (SVM), the performance greatly depends on the choice of kernel. It is not always clear what is the most suitable kernel for one specified task. Multiple kernel learning (MKL) allows to optimize over linear combinations of kernels. A two-step approach, which alternately optimizes the standard SVM and kernel weights, is proposed to solve the non-convex MKL problem. The generalized convexity of MKL is studied which guarantees the strong duality of the corresponding optimization problem. A further contribution is the utilization of a computationally efficient inexact-projection-based method to optimize the …standard SVM. In addition, a nonmonotone gradient method is proposed to optimize the kernel weights and the Hessian matrix is approximated with a variation of Limited-memory Broyden-Fletcher-Goldfarb-Shanno (L-BFGS) approach. The global convergence of the proposed two-step approach is analyzed. The utility of the proposed scheme is demonstrated by empirical study with several datasets, and its performance is compared with state-of-the-art methods in terms of accuracy and scalability. The results show that the proposed method performs as well as existing methods in accuracy, but takes much less time to converge to the stationary point. Show more

Keywords: Multiple kernel learning, generalized convexity, inexact projection method

DOI: 10.3233/IFS-141149

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 4, pp. 1825-1835, 2014

Authors: Sampath, S. | Ramya, B.

Article Type: Research Article

Abstract: Identification of a suitable form for the membership function and assigning values for certain parameters in them while dealing with fuzzy environments is a challenging task in Credibility theory. Recently, Sampath and Ramya [15] considered a criterion called “membership ratio criterion” for testing the validity of a given hypothesis regarding the credibility distribution of a fuzzy variable against a rival hypothesis. A study on the application of the proposed criterion has been made with reference to the parameters involved in triangular credibility distributions. In this paper, a detailed study is made with reference to the fuzzy normal distribution. Test resulting …from the application of membership ratio criterion for testing hypothesis about the expected value of the fuzzy normal distribution is considered assuming the variance of the distribution is known. Optimal properties of the derived tests are also studied. Show more

Keywords: Credibility distributions, credibility hypothesis, membership ratio criterion, best credibility rejection region, best credibility test

DOI: 10.3233/IFS-141150

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 4, pp. 1837-1847, 2014

Authors: Shahsadeghi, Mokhtar | Khooban, Mohammad Hassan | Niknam, Taher

Article Type: Research Article

Abstract: This paper suggests a new hybrid control strategy, called Optimal Type II Fuzzy Sliding Mode (OT2FSM) control scheme, to realize the control of general uncertain chaotic systems. The proposed controller not only guaranties the stability and robustness against the lumped uncertainties caused by unmodeled dynamics and external disturbances, but also can significantly reduce the control chattering inherent in conventional sliding mode control. In the proposed controller, a novel heuristic algorithm namely particle swarm optimization with random inertia weight (RNW–PSO) is employed. To achieve an optimal performance, the parameters of the proposed controller as well as the input and output membership …functions are optimized simultaneously by RNW–PSO. The globally asymptotic stability of the closed-loop system is mathematically proved. To evaluate the performance of the proposed controller, the results are compared with those obtained by Optimal H-infinity Adaptive PID (OHAPID) controller and an optimal Type-2 fuzzy proportional integral derivative (OT2FPID), which are the latest researches in the problem in hand. Simulation results show the effectiveness of the OT2FSM controller. Show more

Keywords: Robust control, type-II fuzzy logic control, sliding mode control, particle swarm optimization (PSO)

DOI: 10.3233/IFS-141151

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 4, pp. 1849-1859, 2014

Authors: Yang, Yong | Peng, Xindong | Chen, Hao | Zeng, Ling

Article Type: Research Article

Abstract: Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainty. In this work, bipolar multi-fuzzy soft set and its operations are introduced, and a few of their properties are studied. Finally, an algorithm is presented by means of positive and negative level soft sets, and an application based on bipolar multi-fuzzy soft sets in decision making is analyzed.

Keywords: Soft sets, bipolar multi-fuzzy sets, fuzzy soft sets, bipolar multi-fuzzy soft sets, decision making

DOI: 10.3233/IFS-141152

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 4, pp. 1861-1872, 2014

Authors: Satish, B.N.V. | Ganesan, G.

Article Type: Research Article

Abstract: In 1986, Attansov introduced the intuitionistic fuzzy set which is the generalized approach of fuzzy set model introduced by Zadeh. Considering the importance of these two theories, various hybridizations with the available mathematical tools have been derived and they are in practice. Related to the concept of rough sets, the hybridized work of Nakamura, Dubois and Prade are noteworthy. In 2005, G. Ganesan et al., have introduced the concept of thresholds in Rough Fuzzy Hybridizations. Later, in 2008, G. Ganesan et al, derived a naïve approach on approximating the connectives in fuzzy predicate calculus through rough sets. This concept was …developed by introducing a threshold on the membership of the arguments in the fuzzy predicates. This work yielded the Two way approximations for the fuzzy connectives. In this work, it is noticed that the complement and the negation of the predicates are found in a unique way, whereas in case of intuitionistic fuzziness, the complement and the negation are to be found in two different ways namely membership based and non membership based. Using this concept, in this paper, we introduce Two way approach on Intuitionistic Fuzzy Logic. Also, in this paper, we derive Two way approximations on each intuitionistic fuzzy connectives using rough sets. Show more

Keywords: Fuzzy predicate calculus, two way intuitionistic fuzzy predicate calculus, rough sets, intuitionistic fuzziness

DOI: 10.3233/IFS-141153

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 4, pp. 1873-1879, 2014

Authors: Yan, Li | Ma, Z.M.

Article Type: Research Article

Abstract: Computer applications in non-traditional area have put requirement on conceptual data modeling. Some conceptual data models, being the tool of design databases, have been proposed. Information in real world application is often vague or ambiguous. Currently few researches have been done in modeling fuzziness in conceptual data model and design of fuzzy databases. In this paper, based on fuzzy set theory, different levels of fuzziness are introduced into the EER (enhanced/extended entity-relationship) model and the corresponding representations are given. The EER model is then extended to fuzzy EER model. The formal mapping of the fuzzy EER model into the fuzzy …relational database schema is proposed in the paper. Show more

Keywords: Fuzzy information modeling, EER model, relational databases, conceptual design

DOI: 10.3233/IFS-141154

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 4, pp. 1881-1896, 2014

Authors: Mei, Cai | Zaiwu, Gong | DaQin, Wu | Minjie, Wu

Article Type: Research Article

Abstract: Pattern recognition (PR) can roughly be defined as an art of assigning to individual objects proper names of patterns consisting of similar to them in an assumed sense objects. Distance measure is a key concept for all attempts to deal with pattern recognition. This paper addresses the issue of linguistic ordered weighted distance measure for PR. The method enables the handling of imprecise information given by linguistic variables. Firstly we construct a non-linear programming model to identify weights of attributes based on the principle that the relative weights of positions should maximize deviations of unknown objects, in order to distinguish …the objects as far as possible. Then we utilize the LOWD operator to aggregate the global evaluation of an unknown object and classify it to the pattern with the shortest distance. Finally, a numerical example is used to show the process and effects of our new proposed method. Show more

Keywords: Pattern recognition (PR), ordered weighted distance measure, maximizing deviation method, linguistic symbolic computational model

DOI: 10.3233/IFS-141155

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 4, pp. 1897-1903, 2014

Authors: Sargano, Allah Bux | Sarfraz, Muhammad | Haq, NuhmanUl

Article Type: Research Article

Abstract: Intelligent systems on Paper currency recognition and verification are inevitable for modern banking services. These systems are used in Auto-seller machines, vending machines etc. Extracting sufficient and reliable monetary characteristics are essential for accuracy and performance of such systems. This paper proposes a new intelligent system for paper currency recognition. Pakistani paper currency has been considered, as a case study, for intelligent recognition. This paper identifies, introduces, and extracts robust features from Pakistani banknotes. After extracting these features, the paper proposes to use three layers feed-forward Backpropagation Neural Network (BPN) for intelligent classification. The proposed technique and system are simple …and comparatively less time consuming which makes it suitable for real-time applications. In order to evaluate the performance of the proposed technique, experiments have been conducted on 175 Pakistani banknotes. The results indicate that system has 100% recognition ability on properly captured images. Show more

Keywords: Intelligent system, paper currency recognition, feature extraction, classification, neural networks

DOI: 10.3233/IFS-141156

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 4, pp. 1905-1913, 2014

Authors: Zhang, Xi | Xie, Huo-Bao

Article Type: Research Article

Abstract: In this paper, we investigate the multiple attribute group decision making problems with interval grey uncertain linguistic variables. We first introduce some operations on the interval grey uncertain linguistic variables. Then, we further develop the we develop the interval grey uncertain linguistic weighted averaging (IGULWA) operator, the interval grey uncertain linguistic variables ordered weighted averaging (IGULOWA) operator and the induced interval grey uncertain linguistic ordered weighted aggregation (I-IGULOWA) operator and study some desirable properties of the I-IGULOWA operator. Furthermore, we apply the I-IGULOWA operator and the IGULWA operator to the multiple attribute group decision making with interval grey uncertain linguistic …information. Finally, an illustrative example for evaluating the ERP software quality with the interval grey uncertain linguistic variables is given to verify the developed approach. Show more

Keywords: Multiple attribute group decision making, interval grey uncertain linguistic variables, induced interval grey uncertain linguistic ordered weighted aggregation (I-IGULOWA) operator, ERP software quality

DOI: 10.3233/IFS-141157

Citation: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 4, pp. 1915-1922, 2014