Applications Of Extended Plithogenic Sets In Plithogenic Sociogram
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Applications of Extended Plithogenic Sets in Plithogenic Sociogram
The theory of plithogeny developed by Smarandache is described as a more generalized form of representing sets of different nature such as crisp, fuzzy, intuitionistic and neutrosophic. Plithogenic set comprises degree of appurtenance and contradiction degree with respect only to the dominant attribute. This paper introduces extended plithogenic sets comprising degrees of appurtenance and contradiction with respect to both dominant and recessive attributes. The extension of the 5-tuple Plithogenic sets to a 7- tuple plithogenic sets helps in developing a more comprehensive kind of Plithogenic sociogram. The newly developed plithogenic sets and its implications in Plithogenic sociogram is validated by the decision making problem on food processing industries. The obtained results using extended plithogenic sets are more promising in comparison to the conventional plithogenic sets. The proposed kind of plithogenic sets will benefit the decision makers to make optimal decisions based on both optimistic and pessimistic approaches.
Neutrosophic and Plithogenic Inventory Models for Applied Mathematics
As professionals navigate the evolving landscapes shaped by the advent of artificial intelligence, a critical void emerges in the optimization paradigms of applied mathematics. The dynamism of our interconnected world demands a collective research effort that transcends traditional boundaries. In response to this pressing need, Neutrosophic and Plithogenic Inventory Models for Applied Mathematics proposes a groundbreaking exploration within the frameworks of neutrosophic and plithogenic theories. This work not only seeks to address the profound impact of artificial intelligence on our lives but also aims to redefine the very foundations of optimization. Embark on a profound journey through the unexplored territories of neutrosophic and plithogenic concepts. Discover the transformative potential of neutrosophic set, logic, probability, and statistics, as well as plithogenic set, logic, probability, and statistics. Explore the synergy between artificial intelligence and responsive optimization, and navigate the intricacies of plithogenic cognitive maps. This work further explores the structural designs within neutrosophic optimization, offering an invaluable resource for scholars seeking to incorporate these advanced concepts into static, dynamic, and probabilistic inventory models and their myriad applications.
Introduction to Plithogenic Sociogram with preference representations by Plithogenic Number
This paper introduces the concepts of Plithogenic Sociogram (PS) and Plithogenic Number (PN) where the former is the integration of plithogeny to the sociometric technique of sociogram and the latter is the generalization of fuzzy, intuitionistic and neutrosophic numbers that shall be used in representations of preferences in group dynamics. This research work outlines the conceptual development of these two newly proposed concepts and discusses the merits of the existing theory of similar kind with suitable substantiation.