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Research on the Methods of Multiple Attribute Decision Making Based on Trapezoid Fuzzy Linguistic Variables

Author: MengFanKai
Tutor: LiuPeiDe
School: Shandong Institute of Economics
Course: Management Science and Engineering
Keywords: Trapezoid fuzzy linguistic variables Multiple Attribute Decision Making Ideal Solution Aggregation operators
CLC: C934
Type: Master's thesis
Year: 2010
Downloads: 111
Quote: 1
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Abstract


Multi-attribute decision-making is an important aspect of decision theory , and it is widely used in many areas of social life , the expression in the form of property values ??is an important part of the multi - attribute decision making problems . Due to the complexity of the objective properties of things , coupled with the ambiguity of the human mind , the quality or performance of a comprehensive assessment of things , and generally can not give precise information for decision-making , but directly given in the form of vague language , and trapezoidal fuzzy the language can be expressed with the stronger performance of information processing capacity and processing more rich ambiguity of uncertain information . Property values ??trapezoidal fuzzy language given in the form of multi- attribute decision-making problem has a very important significance , this article will be to conduct some research in this regard . Firstly, in understanding the concept of trapezoid fuzzy linguistic variables proposed a trapezoidal fuzzy language variable distance measure formula based on algorithms and nature , and combined with multi - attribute decision-making methods to solve trapezoid fuzzy linguistic variables Multiple Attribute Decision Making problems. Secondly, based on the study of aggregation operators proposed a trapezoidal fuzzy linguistic variables weighted geometric average operator , and definition trapezoidal fuzzy language weighted harmonic averaging operator and trapezoidal fuzzy linguistic ordered weighted harmonic mean operator basis on proposed trapezoidal fuzzy language hybrid harmonic averaging operator trapezoid fuzzy linguistic variables to solve the multi-attribute decision - making problems . Finally, the uncertainty of the attribute weights trapezoidal fuzzy MADM methods of linguistic variables , information about attribute weights completely unknown , by constructing a maximal deviation model obtained attribute weights formula to solve ; against only some of the attributes weight information by tectonic single objective optimization model , then Solver property rights derived .

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