Water Quality Assessment Model Based on Intuitionistic Fuzzy Multiple Attribute Decision-Making

The comprehensive evaluation of water quality is an important foundation work for environmental planning and management.Because of the characteristics of fuzziness and impreciseness of river water system, the water quality assessment model based on the set pair analysis theory (WQA-SPA) for evaluating water quality of the river mainstream is proposed. The WQA-SPA model couples fuzzy logic theory and set pair analysis theory, combining identity、discrepancy and contrary (IDC). According to this model, the water level recognition results and the membership of various levels can be calculated by using the river water quality data. Research shows that the evaluation result is accurate, credible. It has a certain value in the comprehensive evaluation of various types of known systems.

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Extended VIKOR-QUALIFLEX Method Based on Trapezoidal Fuzzy Two-Dimensional Linguistic Information for Multiple Attribute Decision-Making with Unknown Attribute Weight

Mathematics ◽

10.3390/math9010037 ◽

2020 ◽

Vol 9 (1) ◽

pp. 37

Author(s):

Ye Li ◽

Yisheng Liu

Keyword(s):

Decision Making ◽

Qualitative Evaluation ◽

Multiple Attribute Decision Making ◽

Two Dimensional ◽

Linguistic Variables ◽

Linguistic Information ◽

Attribute Weight ◽

Model Based ◽

Subjective Weight ◽

Multiple Attribute

Considering the advantages of trapezoid fuzzy two-dimensional linguistic variables (TrF2DLVs), which can not only accurately describe the qualitative evaluation but also use qualitative linguistic variables (LVs) to describe the confidence level of this evaluation in the second dimension, this paper proposes a novel method based on trapezoidal fuzzy two-dimensional linguistic information to solve multiple attribute decision-making (MADM) problems with unknown attribute weight. First, a combination weight model is constructed, which covers a subjective weight determination model based on the proposed trapezoidal fuzzy two-dimensional linguistic best-worst method (TrF2DL-BWM) and an objective weight determination model based on the proposed CRITIC method. Then, in order to accurately rank the alternatives, an extended VIKOR-QUALIFLEX method is proposed, which can measure the concordance index of each ranking combination by means of group utility and individual maximum regret value of each evaluation alternative. Finally, a practical problem of lean management assessment for industrial residential projects is solved by the proposed method, and the effectiveness and advantages of the method are demonstrated by comparative analysis and discussion.

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Lexicographic Orders of Intuitionistic Fuzzy Values and Their Relationships

Mathematics ◽

10.3390/math7020166 ◽

2019 ◽

Vol 7 (2) ◽

pp. 166 ◽

Cited By ~ 19

Author(s):

Feng Feng ◽

Meiqi Liang ◽

Hamido Fujita ◽

Ronald Yager ◽

Xiaoyan Liu

Keyword(s):

Decision Making ◽

Comparative Analysis ◽

Scalar Product ◽

Multiple Attribute Decision Making ◽

Benchmark Problem ◽

Score Functions ◽

Intuitionistic Fuzzy ◽

Multiple Attribute ◽

Risk Investment ◽

Membership Score

Intuitionistic fuzzy multiple attribute decision making deals with the issue of ranking alternatives based on the decision information quantified in terms of intuitionistic fuzzy values. Lexicographic orders can serve as efficient and indispensable tools for comparing intuitionistic fuzzy values. This paper introduces a number of lexicographic orders by means of several measures such as the membership, non-membership, score, accuracy and expectation score functions. Some equivalent characterizations and illustrative examples are provided, from which the relationships among these lexicographic orders are ascertained. We also propose three different compatible properties of preorders with respect to the algebraic sum and scalar product operations of intuitionistic fuzzy values, and apply them to the investigation of compatible properties of various lexicographic orders. In addition, a benchmark problem regarding risk investment is further explored to give a comparative analysis of different lexicographic orders and highlight the practical value of the obtained results for solving real-world decision-making problems.

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