Application of intuitionistic fuzzy number for selecting optimum power source of vehicles

2020 ◽  
pp. 232-240
Author(s):  
Kiran Pal ◽  
Lal Bahadur Singh ◽  
Sanjeev Kumar

This review paper provides a new approach for selection of the suitable power source from the four available options e.g. Petrol, Diesel, CNG and Electric. This paper discusses various vehicle power source selection parameters and utilizes them by applying the intuitionistic fuzzy numbers. This research chooses some popular parameters like Environment Impact, initial and Maintenance cost, Economy/Mileage, Daily Travel Range and the vehicle buyer may use his various preference level/ weight factor as per his conveniences. This work can be used in a suitable vehicle power source selection from the alternative options by a customer giving his choices in proposed method.

Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 574 ◽  
Author(s):  
Zengxian Li ◽  
Hui Gao ◽  
Guiwu Wei

In this paper, we extended the Hamy mean (HM) operator, the Dombi Hamy mean (DHM) operator, the Dombi dual Hamy mean (DDHM), with the intuitionistic fuzzy numbers (IFNs) to propose the intuitionistic fuzzy Dombi Hamy mean (IFDHM) operator, intuitionistic fuzzy weighted Dombi Hamy mean (IFWDHM) operator, intuitionistic fuzzy Dombi dual Hamy mean (IFDDHM) operator, and intuitionistic fuzzy weighted Dombi dual Hamy mean (IFWDDHM) operator. Following this, the multiple attribute group decision-making (MAGDM) methods are proposed with these operators. To conclude, we utilized an applicable example for the selection of a car supplier to prove the proposed methods.


Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 218 ◽  
Author(s):  
Jinming Zhou ◽  
Tomas Baležentis ◽  
Dalia Streimikiene

In this paper, Normalized Weighted Bonferroni Mean (NWBM) and Normalized Weighted Bonferroni Harmonic Mean (NWBHM) aggregation operators are proposed. Besides, we check the properties thereof, which include idempotency, monotonicity, commutativity, and boundedness. As the intuitionistic fuzzy numbers are used as a basis for the decision making to effectively handle the real-life uncertainty, we extend the NWBM and NWBHM operators into the intuitionistic fuzzy environment. By further modifying the NWBHM, we propose additional aggregation operators, namely the Intuitionistic Fuzzy Normalized Weighted Bonferroni Harmonic Mean (IFNWBHM) and the Intuitionistic Fuzzy Ordered Normalized Weighted Bonferroni Harmonic Mean (IFNONWBHM). The paper winds up with an empirical example of multi-attribute group decision making (MAGDM) based on triangular intuitionistic fuzzy numbers. To serve this end, we apply the IFNWBHM aggregation operator.


2016 ◽  
Vol 4 (6) ◽  
pp. 560-573 ◽  
Author(s):  
Lei Wang ◽  
Sicong Guo

AbstractThe first-order fuzzy differential equations with intuitionistic fuzzy initial valued problem is studied. Firstly, with the help of (α, β)-cut set, the distance metric and the Hukuhara difference between intuitionistic fuzzy numbers are defined, and on this basis the concept of differentiability for the intuitionistic fuzzy number-valued functions is defined and a corresponding theorem is derived. Then, according to the selection of derivative the first order intuitionistic fuzzy differential equations is interpreted. Finally, an example of first-order linear intuitionistic fuzzy differential equations is solved, and the results show that there are four different solutions.


Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1531
Author(s):  
Ranka Gojković ◽  
Goran Đurić ◽  
Danijela Tadić ◽  
Snežana Nestić ◽  
Aleksandar Aleksić

The aim of this research is to propose a hybrid decision-making model for evaluation and selection of quality methods whose application leads to improved reliability of manufacturing in the process industry. Evaluation of failures and determination of their priorities are based on failure mode and effect analysis (FMEA), which is a widely used framework in practice combining with triangular intuitionistic fuzzy numbers (TIFNs). The all-existing uncertainties in the relative importance of the risk factors (RFs), their values, applicability of the quality methods, as well as implementation costs are described by pre-defined linguistic terms which are modeled by the TIFNs. The selection of quality methods is stated as the rubber knapsack problem which is decomposed into subproblems with a certain number of solution elements. The solution of this problem is found by using genetic algorithm (GA). The model is verified through the case study with the real-life data originating from a significant number of organizations from one region. It is shown that the proposed model is highly suitable as a decision-making tool for improving the manufacturing process reliability in small and medium enterprises (SMEs) of process industry.


2019 ◽  
Vol 8 (3) ◽  
pp. 3951-3954

Generally ranking of fuzzy number is more essential for convertion of fuzzy number to crisp one. In this manuscript, a new approach to rank the trapezoidal intuitionistic fuzzy numbers using cuts is established. The metric distance of the interval numbers is extended to trapezoidal intuitionistic fuzzy numbers. By using both the ranking of trapezoidal intuitionistic fuzzy numbers and cuts there is abundant scope of investigating the numerical problems in optimization.


Transport ◽  
2018 ◽  
Vol 33 (3) ◽  
pp. 835-842 ◽  
Author(s):  
Dragiša STANUJKIĆ ◽  
Ieva MEIDUTĖ-KAVALIAUSKIENĖ

Location planning is one of very important tasks in the manufacturing industry. There are various factors that influence the selection of a location of a production plant. In cases of selection, when uncertainty and a need for predicting are significantly manifested, the use of fuzzy or grey numbers can be very useful. That is why an approach based on the use of Interval-Valued Intuitionistic Fuzzy Numbers (IVIFNs) for the selection of the most appropriate location of a production plant is considered in this article. The efficiency of the proposed approach is considered on an example, based on the real problem of the smelter and refinery production plant selection.


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