The neutrosophic hesitant fuzzy set is the union of the neutrosophic set and hesitant fuzzy set in which each element has membership, neutrality, and non-membership arrays which verifies infrequency in labeling uncertainty in daily usage. We proposed two novel operators in this analysis that demonstrate evolution, one is the neutrosophic hesitant fuzzy partitioned Maclaurin symmetric mean (NHFPMSM) and the other is the neutrosophic hesitant fuzzy weighted partitioned Maclaurin symmetric mean (NHFWPMSM). These novels aim to draw inspiration from the partitioned Maclaurin symmetric mean concept. The diverse properties and special cases of these operators are demonstrated in this article. We introduce a novel multiple-criteria decision-making method based on the NHFWPMSM operator for choosing the most appropriate substitute from a set of choices ideally. We highlight an organized technique using our approach for selecting the most unique and the best piece of art that focuses on a better composition with appealing colors for innovative art patterns. Moreover, this article shows expert frequency and productiveness through comprehensive contrasting studies and that is how our progressive access excels in existing strategies.
Download full-text PDF |
Source |
---|---|
http://dx.doi.org/10.1038/s41598-025-92432-8 | DOI Listing |
Sci Rep
March 2025
Department of Mathematical Sciences, United Arab Emirates University, P. O. Box 15551, Al-Ain, United Arab Emirates.
The neutrosophic hesitant fuzzy set is the union of the neutrosophic set and hesitant fuzzy set in which each element has membership, neutrality, and non-membership arrays which verifies infrequency in labeling uncertainty in daily usage. We proposed two novel operators in this analysis that demonstrate evolution, one is the neutrosophic hesitant fuzzy partitioned Maclaurin symmetric mean (NHFPMSM) and the other is the neutrosophic hesitant fuzzy weighted partitioned Maclaurin symmetric mean (NHFWPMSM). These novels aim to draw inspiration from the partitioned Maclaurin symmetric mean concept.
View Article and Find Full Text PDFSci Rep
February 2025
Department of Mathematics, Chaudhary Charan Singh University, Meerut, 250004, India.
In the era of increasing environmental awareness, the importance of efficient waste management cannot be overstated. Cardboard stands out among the many materials contributing to waste generation. With proper cardboard collection and recycling practices, one can make a significant difference and lead the way towards a more sustainable future.
View Article and Find Full Text PDFSci Rep
February 2025
School of Mathematics and Statistics, Liupanshui Normal University, Liupanshui, 553004, China.
As a generalization of complex fuzzy set (CFS), complex hesitation fuzzy set (CHFS) is a powerful tool to express two-dimensional fuzzy information, but it ignores the randomness that exists widely in real life. Considering the randomness and ambiguity often simultaneously occur in real-world problems, we come up with an innovative fuzzy set called complex probabilistic hesitant fuzzy set (CPHFS) in this article, which is a joint extension of CFS and probabilistic hesitant fuzzy set (PHFS). Moreover, we establish four basic operations for complex probabilistic hesitant fuzzy element(CPHFE) and a series of useful operational laws are also developed.
View Article and Find Full Text PDFSci Rep
February 2025
Department of Mathematics, Addis Ababa University, Addis Ababa, Ethiopia.
This paper describes a consensus-based approach for dealing with multi-person decision-making problems which incorporate probability hesitant fuzzy preference relations. The procedure begins with establishing expected fuzzy preference relations based on the delivered hesitant fuzzy preference relations using a probabilistic aggregation approach, providing the platform for the framework to make decisions. Then, a multiplicative transitive closure formula is defined to construct multiplicative consistent expected fuzzy preference relations and symmetrical matrices, ensuring the reliability of the preference relations.
View Article and Find Full Text PDFThe normal wiggly probabilistic hesitant fuzzy set (NWPHFS) enhances the conventional probabilistic hesitant fuzzy set (PHFS) by capturing not only explicit probabilistic information but also critical underlying details that may be hidden in the original inputs provided by decision-makers (DMs). This paper introduces a novel extension of the Tomada de Decisão Interativa Multicritério (TODIM) method, called the normal wiggly probabilistic hesitant fuzzy TODIM (NWPHFT) method based on the proposed distance measures of NWPHFSs. Initially, two novel basic operations over NWPHFSs-the subtraction and division operations-are defined.
View Article and Find Full Text PDFEnter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!