An Approach to Solve Fuzzy Knapsack Problem in Investment and Business Model

2020 ◽  
pp. 154-173 ◽  
Author(s):  
Vishnu Pratap Singh
Keyword(s):  
Decision Making ◽  
Business Model ◽  
Knapsack Problem ◽  
Solution Procedure ◽  
Triangular Fuzzy Number ◽  
Decision Makers ◽  
Programming Approach ◽  
Dynamic Programming Approach ◽  
Multi Stage ◽  
Fuzzy Weights

In this chapter, the author studies the knapsack problem with fuzzy weights for single and bi-objective function. The knapsack problem has been widely used in the investment and business model. In real-world decision-making situations, the existence of fuzziness of the weights and the profit is a common requirement. To overcome this difficulty, these weights and profit can be considered as a triangular fuzzy number. Thus, a fuzzy knapsack problem is introduced. The author introduces the possibility index which gives the possibility of choosing the items with fuzzy weights for knapsack with crisp capacity. The possibility index gives an idea to choose the solution according to the decision maker's choice. The dynamic programming approach using multi-stage decision making has been given for the different type of decision makers to find the solution. An investment problem in an imprecise environment has been defined as a fuzzy knapsack problem and the solution procedure is given to demonstrate the methodology.

Decision making based on intuitionistic fuzzy preference relations with additive approximate consistency

2020 ◽  
Vol 39 (3) ◽  
pp. 4041-4058
Author(s):  
Fang Liu ◽  
Xu Tan ◽  
Hui Yang ◽  
Hui Zhao
Keyword(s):  
Decision Making ◽  
Decision Makers ◽  
Real Interval ◽  
Preference Relations ◽  
Intuitionistic Fuzzy ◽  
Proposed Model ◽  
Fuzzy Preference Relations ◽  
Novel Concept ◽  
Fuzzy Weights ◽  
Fuzzy Preference

Intuitionistic fuzzy preference relations (IFPRs) have the natural ability to reflect the positive, the negative and the non-determinative judgements of decision makers. A decision making model is proposed by considering the inherent property of IFPRs in this study, where the main novelty comes with the introduction of the concept of additive approximate consistency. First, the consistency definitions of IFPRs are reviewed and the underlying ideas are analyzed. Second, by considering the allocation of the non-determinacy degree of decision makers’ opinions, the novel concept of approximate consistency for IFPRs is proposed. Then the additive approximate consistency of IFPRs is defined and the properties are studied. Third, the priorities of alternatives are derived from IFPRs with additive approximate consistency by considering the effects of the permutations of alternatives and the allocation of the non-determinacy degree. The rankings of alternatives based on real, interval and intuitionistic fuzzy weights are investigated, respectively. Finally, some comparisons are reported by carrying out numerical examples to show the novelty and advantage of the proposed model. It is found that the proposed model can offer various decision schemes due to the allocation of the non-determinacy degree of IFPRs.

scholarly journals Theory, practice, and politics - Policy decision-making process based on epidemiology and public health evidence proved to be feasible in multistage research on blood-borne infections in Poland.

2020 ◽  
Author(s):  
ANITA GĘBSKA-KUCZEROWSKA ◽  
Robert Gajda
Keyword(s):  
Decision Making ◽  
Service Providers ◽  
Policy Decision ◽  
Decision Makers ◽  
Public Healthcare ◽  
Decision Making Process ◽  
Multi Stage ◽  
Third Stage ◽  
Policy Decision Making ◽  
Epidemiology And Public Health

Abstract Background That it is necessary to involve several stakeholders in a decision-making process. This study presented a research methodology used to prepare the proposal of assumptions regarding the strategy for preventing blood-borne diseases in Poland. Methods The project was carried out from 18th July to 30th November 2016. The tasks under that project were assigned to an outsourcing company to avoid the tendency in respondents’ answers. The research was divided into three stages. The first stage diagnosed the problem from the perspectives of service providers, practitioners, and epidemiologists – persons who encounter problems related to blood-derivative infections at work. The second stage involved analysis at the level of local and country health policy – the institution of supervision, authorities, and administration through the engagement of experts, and public healthcare specialists. In the third stage, decision makers were interviewed (key representatives– that is, the opinions of leaders were sought) and asked to summarize and define priorities regarding conclusions determined in the earlier phases of the project, i.e., during the first and second stages. Results The final output of the entire project is a list of key problems/challenges and solution proposals associated with medical and nonmedical services that are connected to the breakage of tissue continuity. Conclusions Results composed from the multi-stage survey regarded proposed assumptions for the strategy for the prevention of blood-borne infections in Poland. Statistical data allowed the assessment of the health effects, while the methodology applied also allowed diagnosis of the processes leading to these effects.

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