Method of identifying a Type 2 membership function and application to decision-making problems

Author(s):  
Yoshiki Uemura
2021 ◽  
pp. 1-18
Author(s):  
Le Jiang ◽  
Hongbin Liu

The use of probabilistic linguistic term sets (PLTSs) means the process of computing with words. The existing methods computing with PLTSs mainly use symbolic model. To provide a semantic model for computing with PLTSs, we propose to represent a PLTS by using an interval type-2 fuzzy set (IT2FS). The key step is to compute the footprint of uncertainty of the IT2FS. To this aim, the upper membership function is computed by aggregating the membership functions of the linguistic terms contained in the PLTS, and the lower membership function is obtained by moving the upper membership function downward with the step being total entropy of the PLTS. The comparison rules, some operations, and an aggregation operator for PLTSs are introduced. Based on the proposed method of computing with PLTSs, a multi-criteria group decision making model is introduced. The proposed decision making model is then applied in green supplier selection problem to show its feasibility.


Author(s):  
Cengiz Kahraman ◽  
Başar Öztayşi ◽  
Sezi Çevik Onar ◽  
Onur Doğan

Intuitionistic fuzzy sets (IFS) proposed by Atanassov (1983, 1986) are a generalization of ordinary fuzzy sets. They incorporate the degree of hesitation which is defined as 1 minus the sum of membership and non-membership degrees. Type-2 fuzzy sets were first introduced by Zadeh (1975) as an extension of the concept of an ordinary fuzzy set. Type-2 fuzzy sets have grades of membership that are themselves fuzzy. The membership function of a type-2 fuzzy set is three-dimensional, and it is the new third dimension that provides additional degrees of freedom for handling uncertainties. An intuitionistic fuzzy set can be converted to a Type-2 fuzzy set by subtracting its non-membership function from 1. Thus, an intuitionistic fuzzy multi-criteria decision making problem can be solved by using type-2 fuzzy multi-criteria decision making techniques. In this paper, an intuitionistic fuzzy originated interval type-2 fuzzy AHP method is developed and applied to the technology selection problem of a damless hydroelectric power plant. Damless hydroelectric power plants are environmentally friendly and sustainable energy production systems. Several criteria and damless technology alternatives along the Sakarya River in Turkey are considered. Linguistic evaluations are considered in this multi-criteria damless technology selection problem.


Diabetes ◽  
2020 ◽  
Vol 69 (Supplement 1) ◽  
pp. 1552-P
Author(s):  
KAZUYA FUJIHARA ◽  
MAYUKO H. YAMADA ◽  
YASUHIRO MATSUBAYASHI ◽  
MASAHIKO YAMAMOTO ◽  
TOSHIHIRO IIZUKA ◽  
...  

2021 ◽  
pp. 1-18
Author(s):  
ShuoYan Chou ◽  
Truong ThiThuy Duong ◽  
Nguyen Xuan Thao

Energy plays a central part in economic development, yet alongside fossil fuels bring vast environmental impact. In recent years, renewable energy has gradually become a viable source for clean energy to alleviate and decouple with a negative connotation. Different types of renewable energy are not without trade-offs beyond costs and performance. Multiple-criteria decision-making (MCDM) has become one of the most prominent tools in making decisions with multiple conflicting criteria existing in many complex real-world problems. Information obtained for decision making may be ambiguous or uncertain. Neutrosophic is an extension of fuzzy set types with three membership functions: truth membership function, falsity membership function and indeterminacy membership function. It is a useful tool when dealing with uncertainty issues. Entropy measures the uncertainty of information under neutrosophic circumstances which can be used to identify the weights of criteria in MCDM model. Meanwhile, the dissimilarity measure is useful in dealing with the ranking of alternatives in term of distance. This article proposes to build a new entropy and dissimilarity measure as well as to construct a novel MCDM model based on them to improve the inclusiveness of the perspectives for decision making. In this paper, we also give out a case study of using this model through the process of a renewable energy selection scenario in Taiwan performed and assessed.


Author(s):  
Christian Muschitz ◽  
Anita Trummert ◽  
Theresa Berent ◽  
Norbert Laimer ◽  
Lukas Knoblich ◽  
...  

SummarySevere acute respiratory syndrome coronavirus type 2 (SARS-CoV-2), the etiological agent of coronavirus disease 2019 (COVID-19), produces protean manifestations and causes indiscriminate havoc in multiple organ systems. This rapid and vast production of proinflammatory cytokines contributes to a condition termed cytokine storm. A 35-year-old, otherwise healthy, employed, male patient was tested positive for COVID-19. He was admitted to the hospital on disease day 10 due to retarded verbal reactions and progressive delirium. On account of these conditions and the need for noninvasive/invasive ventilation, a combination treatment with baricitinib and remdesivir in conjunction with standard of care was initiated. The cytokine storm was rapidly blocked, leading to a vast pulmonary recovery with retarded recovery of the central nervous system. We conclude that the rapid blockade of the COVID-19-induced cytokine storm should be considered of avail as a principle of careful decision-making for effective recovery.


2021 ◽  
Vol 22 (1) ◽  
Author(s):  
Anja Wollny ◽  
Christin Löffler ◽  
Eva Drewelow ◽  
Attila Altiner ◽  
Christian Helbig ◽  
...  

Abstract Background We investigate whether an educational intervention of GPs increases patient-centeredness and perceived shared decision making in the treatment of patients with poorly controlled type 2 diabetes mellitus? Methods We performed a cluster-randomized controlled trial in German primary care. Patients with type 2 diabetes mellitus defined as HbA1c levels ≥ 8.0% (64 mmol/mol) at the time of recruitment (n = 833) from general practitioners (n = 108) were included. Outcome measures included subjective shared decision making (SDM-Q-9; scale from 0 to 45 (high)) and patient-centeredness (PACIC-D; scale from 1 to 5 (high)) as secondary outcomes. Data collection was performed before intervention (baseline, T0), at 6 months (T1), at 12 months (T2), at 18 months (T3), and at 24 months (T4) after baseline. Results Subjective shared decision making decreased in both groups during the course of the study (intervention group: -3.17 between T0 and T4 (95% CI: -4.66, -1.69; p < 0.0001) control group: -2.80 (95% CI: -4.30, -1.30; p = 0.0003)). There were no significant differences between the two groups (-0.37; 95% CI: -2.20, 1.45; p = 0.6847). The intervention's impact on patient-centeredness was minor. Values increased in both groups, but the increase was not statistically significant, nor was the difference between the groups. Conclusions The intervention did not increase patient perceived subjective shared decision making and patient-centeredness in the intervention group as compared to the control group. Effects in both groups might be partially attributed to the Hawthorne-effect. Future trials should focus on patient-based intervention elements to investigate effects on shared decision making and patient-centeredness. Trial registration The trial was registered on March 10th, 2011 at ISRCTN registry under the reference ISRCTN70713571.


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