Knee injury prevention via personalized exercise using EDAS method and Sugeno Weber operator under complex q rung orthopair fuzzy data

Abstract

Knee injuries are common in several people, frequently controlling for significant injuries and health care costs. This article explains the role of personalized exercise prescriptions in preventing knee injuries. For this purpose, we used the multicriteria decision-making (MCDM) technique to select the best alternative, including criteria such as level of muscle strength improvement, cardiovascular endurance, recovery time, and improvement in flexibility and range of motion. The complex q-rung orthopair fuzzy set (C-qROFS) is a prevailing tool for managing ambiguity by combining satisfactory, dissatisfactory, and complex phase data. It is the extent of fuzzy theories that characterize directional and magnitude-based uncertainties, allowing more significant decision-making. In existing research work, C-qROFS was defined with different aggregation operators. However, no work is available on combined Segeno Weber aggregation operator (AOs) and EDAS in the framework of C-qROFS. We propose some notion AOs such as C-qROF Sugeno Weber weighted averaging (C-qROFSWWA) and C-qROF Sugeno Weber weighted geometric (C-qROFSWWG) as essential properties. We have also proposed the EDAS technique for C-qROFS. The EDAS technique for C-qROFS certifies efficient decision-making by exploiting C-qROF information to assess alternatives based on proximity to an ideal solution. A real-life example is proposed for selecting the best-personalized exercise using our suggested aggregation operator. We take four alternatives after finding that rank strength training focused on quadriceps and hamstrings is the best alternative for preventing knee injuries. To check the superiority and validity of the suggested technique, a deep comparative study with the existing aggregation operator must be conducted.

Keywords: Complex q-rung orthopair fuzzy set; EDAS technique; MCDM algorithm; Personalized exercise; Sugeno Weber t-norm; t-conorm.

Fig. 1

Show the best exercises for the knee. Address: https://www.pinterest.com/pin/remedies--90564642494601249/.

Fig. 2

Algorithm for the selection of best alternative.

Fig. 3

Show the best position for balance and proprioception. Address: https://www.athletescare.com/chiropractors-toronto-blog/the-benefits-of-balance--proprioception~7.html.

Fig. 4

Show the best position for flexibility and stretching routine exercises. Address: https://www.pinterest.com/pin/408420259941298172/.

Fig. 5

Show the best exercise aerobic conditioning with low-impact activities. Address: https://www.vhwellfit.com/blog/6-low-impact-workouts-to-ease-arthritis-symptoms/.

Fig. 6

Show the best exercise for a quadriceps strain. Address: https://www.facebook.com/Physiocity1/posts/quadriceps-strain-exercise-physio-physiocity-physiotherapy-physicaltherapist-pt-/166009994872671/.

Fig. 7

Show the top ten exercises for the hamstring. Address: https://www.facebook.com/IamPhysiotherapy/posts/great-post-by-bretcontreras1-here-are-my-top-ten-favorite-hamstring-exercises-ho/2225858590837123/.

Fig. 8

Graphically representation of score value.

Fig. 9

Graphically representation of APS values by using the EDAS method.

Fig. 10

Graphically representation of weighted averaging by comparative analysis.

Fig. 11

Graphically representation of weighted geometric by comparative analysis.

Fig. 12

Graphically representation of weighted averaging by sensitivity analysis.

Fig. 13

Graphically representation of weighted geometric by sensitivity analysis.