An associated linear system approach for solving fully fuzzy linear system with hexagonal fuzzy number
An associated linear system has been previously employed to solve Fully Fuzzy Linear System (FFLS) with trapezoidal or triangular fuzzy numbers (TFNs). This paper proposes a modified associated linear system for solving FFLS with a positive hexagonal fuzzy number (HFN). FFLS is proved to be an equivalent linear system to the modified associated linear system. Subsequently, the solution can be represented and obtained using any classical linear system method. The required theorems are derived to inspect a sufficient and necessary condition in order to solve the system. An example is given to illustrate our work.
In order to promote the comprehensive study of the whole problem of ecological housing, this paper uses the principle of the method AHP system model, established a set of evaluation system for rural ecological performance, in order to make scientific evaluation for rural housing overall ecological performance. And based on the analysis of determining evaluation system indicators weights, the paper conducted a systematic analysis of comprehensive assessment of rural housing ecological performance. In this paper, research methods to establish evaluation system model with AHP (analytic hierarchy process) provide new ideas for systematic study of rural residential ecological assessment. This will help improve the ecological state of the environment in rural areas.