Fuzzy Information and Engineering

Keyanpour, M.; Ketabchi, S.

2012 Fuzzy Information and Engineering

doi: 10.1007/s12543-012-0097-x

AbstractIn this paper, we describe the technique for calculating minimum violation of a system in fuzzy linear inequalities showing it is also an efficient violation.For this purpose, degree of inconsistency of a crisp system of linear inequalities is defined, and degree of feasibility and degree of consistency for a linear system with violation inequality are presented and then the minimum violation is calculated by solving a convex quadratic programming. The minimum violation of fuzzy linear programming (FLP) is also computed with numerical examples illustrated by the obtained results and its practical implementation.

Liu, Wan-li; Song, Xiao-qiu; Liu, Jin-bo; Zhang, Qiu-zhao

2012 Fuzzy Information and Engineering

doi: 10.1007/s12543-012-0098-9

AbstractFuzzy integrals are commonly used as aggregation operators. In this paper, we present a new model based on fuzzy integrals with -norms and -conorms before obtaining some basic properties. This model can act as an aggregation tool to deal with many information fusing and data mining problems such as programming and classification.

Muni, Durga Prasad; Pal, Nikhil R.

2012 Fuzzy Information and Engineering

doi: 10.1007/s12543-012-0099-8

AbstractIn this paper, we propose a genetic programming (GP) based approach to evolve fuzzy rule based classifiers. For a c-class problem, a classifier consists of c trees. Each tree, Ti, of the multi-tree classifier represents a set of rules for class i. During the evolutionary process, the inaccurate/inactive rules of the initial set of rules are removed by a cleaning scheme. This allows good rules to sustain and that eventually determines the number of rules. In the beginning, our GP scheme uses a randomly selected subset of features and then evolves the features to be used in each rule. The initial rules are constructed using prototypes, which are generated randomly as well as by the fuzzy k-means (FKM) algorithm. Besides, experiments are conducted in three different ways: Using only randomly generated rules, using a mixture of randomly generated rules and FKM prototype based rules, and with exclusively FKM prototype based rules. The performance of the classifiers is comparable irrespective of the type of initial rules. This emphasizes the novelty of the proposed evolutionary scheme. In this context, we propose a new mutation operation to alter the rule parameters. The GP scheme optimizes the structure of rules as well as the parameters involved. The method is validated on six benchmark data sets and the performance of the proposed scheme is found to be satisfactory.

Cheng, Sen-lin; Wei, Qiang; Ye, Zhao-hong

2012 Fuzzy Information and Engineering

doi: 10.1007/s12543-012-0100-6

AbstractAimed at deficiencies of the traditional fault diagnosis method for pneumatic press, an automatic fault diagnosis system is established and its purpose including improvement of preferment and precision was experimented. First, the fuzzy inference algorithm is analyzed. Then the fuzzy relationship between the fault symptom and the fault cause is compared. Finally, the paper takes the pneumatic press as an example, and established a fast and efficient fault diagnosis system based on fuzzy inference. The practical test results show that the accuracy of fault diagnosis and forecast is improved, and the fuzzy reference algorithm can satisfy the system requirements of security and stabilization as well as higher precision and rapid speed.

Kumar, Amit; Neetu, ; Bansal, Abhinav

2012 Fuzzy Information and Engineering

doi: 10.1007/s12543-012-0101-5

AbstractIn this paper, a new computational method is proposed to solve fully fuzzy linear systems (FFLS) of triangular fuzzy numbers based on the computation of row reduced echelon form for solving the crisp linear system of equations. The method is illustrated by solving three numerical examples. As compared to the existing methods, the proposed method is easy to understand and to apply for solving FFLS occurring in real life situations and scientific applications. The primary advantage of the proposed method is that, by using it, the consistency of the FFLS can be checked easily and nature of the solutions of an FFLS can also be obtained which may be unique or infinite.

Keshavarzi, M.; Dehghan, M.A.; Mashinchi, M.

2012 Fuzzy Information and Engineering

doi: 10.1007/s12543-012-0102-4

AbstractIn this paper, we first review some definitions and propositions regarding similarities between two objects (2-similarity), or among three or more objects (3-similarity/n-similarity). Then the notion of 3-dissimilarity is introduced and the relationships and connections between 2-dissimilarities and 3-dissimilarities are studied. Through some examples, the applications regarding the concepts of 3-similarity, 4-similarity, and dissimilarity relations will be brought out.

Zhang, Qian-hong; Yang, Li-hui

2012 Fuzzy Information and Engineering

doi: 10.1007/s12543-012-0103-3

AbstractIn this work, employing Lyapunov functional and elemental inequality , some sufficient conditions are derived for the existence and uniqueness of periodic solution of fuzzy bidirectional associated memory (BAM) neural networks with variable delays. Some new and simple criteria are obtained to ensure global exponential stability of periodic solution, which are important in design and applications of fuzzy BAM neural networks.

Hazra, H.; Majumdar, P.; Samanta, S.K.

2012 Fuzzy Information and Engineering

doi: 10.1007/s12543-012-0104-2

AbstractIn this paper, the notions of topology on soft subsets and soft topology have been introduced. Some basic properties of these topologies are studied. Also the definition of continuity of soft mappings in both the topologies is given with their properties studied.

2012 Fuzzy Information and Engineering

doi: 10.1007/s12543-012-0105-1