Geometric-arithmetic energy and atom bond connectivity energy of dual hesitant q-rung orthopair fuzzy graphs

q-Rung orthopair fuzzy sets (q-ROFSs), originally proposed by Yager, can powerfully modify the range of indication of decision information by changing a parameter q based on the different hesitation degree, and the dual hesitant q-rung orthopair fuzzy set (DHq-ROFS), a new technique to consider human’s hesitance, can be more substantial of dealing with real multi-attribute decision making (MADM) problems. Inspired by DHq-ROFSs, in this article, we extend the concept of q-rung orthopair fuzzy graphs to dual hesitant q-rung orthopair fuzzy context and introduce the innovative concept of a dual hesitant q-rung orthopair fuzzy graphs based on Hamacher operator called dual hesitant q-rung orthopair fuzzy Hamacher graphs (DHq-ROFHGs). We propose the new concepts of geometric-arithmetic energy and atom bond connectivity energy of a DHq-ROFHG and determine its upper and lower bounds. Moreover, on the basis of the proposed concept of DHq-ROFHGs, we introduce a new approach to solve the MADM problems with dual hesitant q-rung orthopair fuzzy information. At the end, we give a numerical model related to the selection of most significant defensive factor to illustrate the applicability of the developed approach, and exhibit its viability. Comparative analysis is conducted and the superiorities are illustrated.

Application of Intuitionistic Fuzzy Evaluation Method in Aircraft Cockpit Display Ergonomics

The ergonomic level of cockpit display design can be improved by establishing an objective and effective method for evaluating the ergonomics of the cockpit display. Given the fuzz problem in ergonomic evaluation, a new intuitionistic fuzzy evaluation method is proposed based on the Intuitionistic Fuzzy Ordered Weighted Geometric Average (IFOWGA) operator and the possible degree function in this work. Firstly, the intuitionistic fuzzy evaluation matrix considering the hesitation degree of experts' determination is first constructed as the basis of intuitionistic fuzzy evaluation. Secondly, using the IFOWGA operator the intuitionistic fuzzy evaluation values are obtained through aggregating the evaluation matrix. And these values are ranked to get the level of ergonomic evaluation by possible degree ranking function. Finally, an evaluation example based on the cockpit display of a certain aircraft is given to verify the effectiveness of the proposed approach. Six alternatives of the evaluation result are obtained by the aggregation of the IFOWGA operator. Applied the possible degree function, the ergonomic evaluation grade of the aircraft cockpit display is the second level by ranking the alternative sand the variation of intuitionistic fuzzy value is already small when the number of experts is more than 16. It can be shown from the results that the ergonomic level of cockpit display can be objectively and scientifically evaluated by the proposed quantitative method, and it can provide a theoretical basis and practical methods for improving the ergonomic level of cockpit display design.

Group DEMATEL decision method based on hesitant fuzzy linguistic term sets

Background: Decision-making trial and evaluation laboratory (DEMATEL) is a practical and concise method to deal with the complicated socioeconomic system problems. However, there are two defects in original DEMATEL. On the one hand the traditional expert preference expressions can’t reflect the hesitation and flexibility of expert, on the other hand the determination of group experts’ weight usually be expressed the equivalent weight which can’t reflect the scientificality of weight on the behalf of experts’ academic background, capability experience, risk preference and so on. To solve the above problems, a novel Group DEMATEL decision method based on hesitant fuzzy linguistic term sets (HFLTSs) is proposed. Method: Firstly, this paper presents that experts make their judgement on the causal relationship of factors by using a linguistic expression closed to human expression, which can be easily transformed into HFLTSs. Next the hybrid weight of experts are calculated on the base of the initial HFLTSs direct influence matrix (HDIM) according to the hesitant degree and distance between two HDIMs. And the aggregation of each expert’s information is introduced by possibility degree. Then the new group DEMATEL decision method based on HFLTSs are constructed. Finally, an illustrative example is given and analyzed to demonstrate the effectiveness and validation of the proposed approach. Results: This paper demonstrate the heterogeneity of decision experts and the hesitation degree of expert information representation must be taken into account when determining the interaction of factors in complex systems by DEMATEL method. Conclusion: This paper constructs the new amended group DEMATEL which provides a new way to deal with the integration of each expert’s information by the hybrid weight and possibility degree. The methods provides references for determining the importance of complex system factors more scientifically and objectively.

Medical Pattern Recognition: Applying an Improved Intuitionistic Fuzzy Cross-Entropy Approach

One of the toughest challenges in medical diagnosis is the handling of uncertainty. Since medical diagnosis with respect to the symptoms uncertain, they will be assumed to have an intuitive nature. Thus, to obtain the uncertain optimism degree of the doctor, fuzzy linguistic quantifiers will be used. The aim of this article is to provide an improved nonprobabilistic entropy approach to support doctors examining the work of the preliminary diagnosing. The proposed entropy measure is based on intuitionistic fuzzy sets, extrainformation regarding hesitation degree, and an intuitive and mathematical connection between the notions of entropy in terms of fuzziness and intuitionism has been revealed. An illustrative example for medical pattern recognition demonstrates the usefulness of this study. Furthermore, in order to make computing and ranking results easier and to increase the recruiting productivity, a computer-based interface system has been developed to support doctors in making more efficient judgments.