Reverse triple I method based on single valued neutrosophic fuzzy inference

The theory of single valued neutrosophic sets, which is a generalization of intuitionistic fuzzy sets, is more capable of dealing with inconsistent information in practice. In this paper, we propose reverse triple I method under single valued neutrosophic environment. Firstly, we give the definitions of single valued neutrosophic t-representation t-norms and single valued neutrosophic residual implications. Secondly, we develop a formula for calculating single valued neutrosophic residual implications. Then we propose reverse triple I method based on left-continuous single valued neutrosophic t-representation t-norms and its solutions. Lastly, we discuss the robustness of reverse triple I method based on the proposed similarity measure.

Mapping perspectives of inhabitants and professionals in deprived neighborhoods in the Netherlands

Background People living in deprived neighborhoods have been shown to have several social and health problems such as loneliness, feelings of unsafety, poor diet and overweight, resulting in more sick years (16 years) and shorter life expectancy (6 year; Buck & Maguire, 2015; Murtin et al., 2017). Interventions developed by professionals to reduce health inequalities, seem to have little long term effects possibly due to interventions not matching the perspectives of people in deprived neighborhoods. The present study is performed to map possible differences in perspectives between inhabitants and professionals in deprived neighborhoods using the Triple-I method. Methods The Triple-I method as qualitative research tool (Boonekamp, Dierx & Jansen, in publication) was used to gain insight in how inhabitants (N = 12) and health and social professionals (N = 18) percieve the deprived neighborhood. Inhabitants and professionals were in separate Triple-I sessions that all took place in a community center within the neighborhood. Results Results show that both inhabitants and professionals want to create more self-reliance of the inhabitants. However, professionals mention their skills in organizing and bringing logic in the actions of inhabitants whereas inhabitants mention their own ability to organize activities themselves. In addition where both mention ‘togetherness’ as topic, inhabitants refer to this as ‘meeting each other’, whereas professionals talk about ‘constructing powerful networks with inhabitants and other professionals’. According to professionals these networks can ‘create feelings of safety’, which inhabitants perceive as a result of ‘clean and green surrounding’. Conclusions This research corroborates the suggestion that professionals and inhabitants percieve their neighborhood differently. Interventions reducing health inequality might be more effective when approached from the perspective of and even developed and executed by the target group. Key messages Triple-I method is useable in asset mapping of inhabitants and professionals in deprived neighborhoods in the Netherlands. Triple-I mehtod is useable in stimulating physical activities and health in neighborhoods.

Fuzzy Systems Based on Universal Triple I Method and Their Response Functions

The fuzzy systems based on the universal triple I method are investigated, and then their response functions are analyzed. First, the conclusions show that 100 fuzzy systems via the universal triple I method are approximately interpolation functions, which can be used in practical systems, and that 90 ones are approximately fitted functions, which may be usable. Second, as its special cases, the Compositional Rule of Inference (CRI) method and the triple I method are discussed, with the results that 19 fuzzy systems via the CRI method and 2 ones via the triple I method are practicable. Therefore, the universal triple I method has larger effective choosing space, which can obtain more usable fuzzy systems than the others. Lastly, it is found that the first implication and second implication, respectively, embody the function of rule base and reasoning mechanism, further demonstrating the reasonability of the universal triple I method.