Extending a pessimistic–optimistic fuzzy information axiom based approach considering acceptable risk: Application in the selection of maintenance strategy

2018 ◽  
Vol 67 ◽  
pp. 895-909 ◽  
Author(s):  
Hamidreza Seiti ◽  
Ashkan Hafezalkotob ◽  
Reza Fattahi
2021 ◽  
Vol 40 (1) ◽  
pp. 1287-1307
Author(s):  
Muhammad Akram ◽  
Sumera Naz ◽  
Sundas Shahzadi ◽  
Faiza Ziaa

 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.


2012 ◽  
Vol 605-607 ◽  
pp. 263-266 ◽  
Author(s):  
Qin He ◽  
Rui Jun Zhang ◽  
Nan Guo ◽  
Dong Sheng Cong ◽  
Ji Wei Qiu

Applying fuzzy information axiom in product concept design, the evaluation method for design schemes based on fuzzy information axiom was built and the insufficient of estimation in qualitative indexes was overcome. Actual membership function curve was selected conform to different index types, and fuzzy language of qualitative indexes is numerical. Through computing information content of each product scheme, the optimal scheme was selected with the unified metrics. The model was applied in scheme evaluation of handling equipment in stereo garage and its effectiveness was verified. Meanwhile, the optimal design scheme of handling equipment in vertical rotary stereo garage was obtained and the theoretical foundation was provided for handing equipment.


Author(s):  
M. Ilangkumaran ◽  
S. Kumanan

This paper focuses on the use of Fuzzy Analytic Hierarchy Process (FAHP) and VlseKriterijumska Optimizacija I Kompromisno Resenje in Serbian (VIKOR) to select an optimum maintenance strategy for a textile industry. In the proposed methodology, first the weight of each criterion is calculated by using improved AHP with fuzzy set theory to overcome the problems of unbalanced scale of judgments, uncertainty and imprecision in the pair-wise comparison process and then the VIKOR method is applied to compensate the imprecise ranking of the AHP in the selection of maintenance strategy. The real case study is conducted for a textile industry to illustrate the utilization of the proposed model for the maintenance strategy selection problem. Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is applied to make sure that the result of the proposed model can be acceptable. A sensitivity analysis is also conducted to show the validity of the proposed model. The paper gives an insight into multi criteria decision-making (MCDM) techniques to select an optimum maintenance strategy for a process industry using a case study.


Author(s):  
L Tang

The selection of mechanism type is one of the important aspects in conceptual design of machine products. The paper applies the set theory for representing the attribute items of kinematic function to reflect the kinematic state and the function quality to reflect overall performances of the function unit for some complex design task. It gives a set-theory-based mode for the selection of mechanism types, in which precise reasoning by computer is combined with fuzzy appraisement by human. By precise reasoning at first, the computer selects from mechanisms database those mechanisms that can meet the kinematic requirements of the function unit to be solved. And then the function qualities of the selected mechanisms are appraised by human approving, which is actually a process of fuzzy match. This approach avoided the difficulty that the computer cannot yet effectively process fuzzy information and is suitable for the selection of both single-degree-of-freedom (DOF) and many-DOF mechanisms. The selected mechanisms can thus meet the requirements not only of the kinematic function, but also of the function quality. The approach presented in the current paper has been successfully applied to the software development of computer-aided conceptual design of mechanism systems.


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