scholarly journals Distribution-Based Approaches to Deriving Weights from Dual Hesitant Fuzzy Information

Symmetry ◽  
2019 ◽  
Vol 11 (1) ◽  
pp. 85 ◽  
Author(s):  
Zhan Su ◽  
Zeshui Xu ◽  
Hua Zhao ◽  
Shousheng Liu
Keyword(s):  
Decision Making ◽  
Cognitive Bias ◽  
Fuzzy Decision Making ◽  
Distribution Characteristics ◽  
Fuzzy Decision ◽  
Fuzzy Information ◽  
Higher Weights ◽  
Negative Effect ◽  
Main Ideas ◽  
Weighting Methods

Modern cognitive psychologists believe that the decision act of cognitive bias on decision results is universal. To reduce their negative effect on dual hesitant fuzzy decision-making, we propose three weighting methods based on distribution characteristics of data. The main ideas are to assign higher weights to the mid arguments considered to be fair and lower weights to the ones on the edges regarded as the biased ones. The means and the variances of the dual hesitant fuzzy elements (DHFEs) are put forward to describe the importance degrees of the arguments. After that, these results are expanded to deal with the hesitant fuzzy information and some examples are given to show their feasibilities and validities.

scholarly journals Multiple Attribute Decision Making Based on Hesitant Fuzzy Einstein Geometric Aggregation Operators

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Xiaoqiang Zhou ◽  
Qingguo Li
Keyword(s):  
Decision Making ◽  
Multiple Attribute Decision Making ◽  
Aggregation Operators ◽  
Fuzzy Decision Making ◽  
Fuzzy Decision ◽  
Fuzzy Information ◽  
Operational Laws ◽  
Multiple Attribute ◽  
Fuzzy Aggregation ◽  
Geometric Operator

We first define an accuracy function of hesitant fuzzy elements (HFEs) and develop a new method to compare two HFEs. Then, based on Einstein operators, we give some new operational laws on HFEs and some desirable properties of these operations. We also develop several new hesitant fuzzy aggregation operators, including the hesitant fuzzy Einstein weighted geometric (HFEWGε) operator and the hesitant fuzzy Einstein ordered weighted geometric (HFEWGε) operator, which are the extensions of the weighted geometric operator and the ordered weighted geometric (OWG) operator with hesitant fuzzy information, respectively. Furthermore, we establish the connections between the proposed and the existing hesitant fuzzy aggregation operators and discuss various properties of the proposed operators. Finally, we apply the HFEWGεoperator to solve the hesitant fuzzy decision making problems.

scholarly journals Critic-entropy based fuzzy decision making models: a systematic analysis

2021 ◽  
Vol 5 (1) ◽  
Author(s):  
Aldring J ◽  
Ajay D
Keyword(s):  
Decision Making ◽  
Fuzzy Decision Making ◽  
Fuzzy Decision ◽  
Systematic Analysis ◽  
Research Article ◽  
Criteria Weights ◽  
Fuzzy Madm ◽  
Multi Attribute Decision Making ◽  
Ranking Order ◽  
Weighting Methods

This research article presents a comprehensive analysis of weighting methods used in fuzzy multi attribute decision making (MADM) methods. These methods involve various criteria in order to evaluate alternatives and determining the weights of criteria is a significant problem that arises very often in many MADM problems. In this research paper, CRTITIC and Entropy weighting methods have been used for finding criteria’s weights like in many research works. Using these unsupervised methods of assigning criteria weights, seven fuzzy MADM methods are examined in the context of ranking the best company to invest in. From the results of these methods, ranking order of alternatives is obtained and are analysed for reliability.

scholarly journals Model Supporting Development Decisions by Considering Qualitative–Environmental Aspects

2021 ◽  
Vol 13 (16) ◽  
pp. 9067
Author(s):  
Dominika Siwiec ◽  
Andrzej Pacana
Keyword(s):  
Decision Making ◽  
Fuzzy Decision Making ◽  
Fuzzy Decision ◽  
Environmental Aspects ◽  
Analytic Hierarchy ◽  
The Sustainable Development ◽  
Decision Methods ◽  
Negative Effect ◽  
Positive Correlations ◽  
Hierarchy Process

Dynamic changes in customers’ expectations and unfavorable climate changes have generated the need to consider such aspects in the process of creating new products and the modernization of existing products. Simultaneously including customers’ expectations and environmental impact is a key element of the sustainable development of products. Enterprises attempt, within their awareness and possibilities, to apply the idea of sustainability; they do this more or less methodically. As such, an instrument to support decision-making in the area of product development is still needed because it would both be desirable for customers and have less of a negative effect on the natural environment. The purpose of this study was to develop a model that supports decision-making in the development of products while considering sustainability. The model determines the key criteria of the product, criteria states (current and future), and their positive correlations (e.g., achieving high levels of product quality and no (or a reduction in) destructive impact on the environment). To reduce the fuzzy decision-making environment, multiplicative decision methods with the fuzzy Saaty scale were implemented. These methods were the fuzzy analytic hierarchy process (FAHP) and the fuzzy technique for order of preference by similarity to ideal solution (FTOPSIS). The model is able to support qualitative–environment decisions in the development of any product.

Dual hesitant fuzzy decision making in optimization models

2021 ◽  
Vol 154 ◽  
pp. 107103
Author(s):  
Fanyong Meng ◽  
Jie Tang ◽  
Witold Pedrycz
Keyword(s):  
Decision Making ◽  
Optimization Models ◽  
Fuzzy Decision Making ◽  
Fuzzy Decision
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