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Journal of Applied Mathematics
Volume 2014, Article ID 132806, 12 pages
http://dx.doi.org/10.1155/2014/132806
Research Article

The Interval-Valued Triangular Fuzzy Soft Set and Its Method of Dynamic Decision Making

1School of Mechanics and Civil Engineering, China University of Mining & Technology, Beijing 100083, China
2School of Science, Heilongjiang University of Science and Technology, Harbin 150022, China

Received 26 May 2014; Revised 12 August 2014; Accepted 12 August 2014; Published 26 August 2014

Academic Editor: Shuming Wang

Copyright © 2014 Xiaoguo Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A concept of interval-valued triangular fuzzy soft set is presented, and some operations of “AND,” “OR,” intersection, union and complement, and so forth are defined. Then some relative properties are discussed and several conclusions are drawn. A dynamic decision making model is built based on the definition of interval-valued triangular fuzzy soft set, in which period weight is determined by the exponential decay method. The arithmetic weighted average operator of interval-valued triangular fuzzy soft set is given by the aggregating thought, thereby aggregating interval-valued triangular fuzzy soft sets of different time-series into a collective interval-valued triangular fuzzy soft set. The formulas of selection and decision values of different objects are given; therefore the optimal decision making is achieved according to the decision values. Finally, the steps of this method are concluded, and one example is given to explain the application of the method.