Introduction to plithogenic sociogram with preference representations by plithogenic number
Publish place: Journal of Fuzzy Extension & Applications، Vol: 3، Issue: 1
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JFEA-3-1_006
تاریخ نمایه سازی: 30 خرداد 1401
Abstract:
The theory of Plithogeny is gaining momentum in recent times as it generalizes the concepts of fuzzy, intuitionistic, neutrosophy and other extended representations of fuzzy sets. The relativity of the comprehensive and accommodative nature of plithogenic sets in dealing with attributes shall be applied to handle the decision–making problems in the field of sociology. 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. The plithogenic sociogram model encompassing the attributive preferences with plithogenic number representation is also developed to explicate how it can be materialized in the real social field. A conjectural illustration is put forth to analyze the efficiency and the feasibility of the proposed plithogenic sociogram model and its function in decision-making. This paper also throws light on generalized plithogenic number, dominant attribute constrained plithogenic number and combined dominant attribute constrained plithogenic number together with its operations and suitable illustrations.
Keywords:
Plithogeny , plithogenic sociogram , attributes , Preferences generalized plithogenic number , Dominant attribute constrained plithogenic number , Combined dominant attribute constrained plithogenic number
Authors
Nivetha Martin
Department of Mathematics, Arul Anandar College (Autonomous), Karumathur, India.
Florentin Smarandache
Department of Mathematics, University of New Mexico, Gallup, NM ۸۷۳۰۱, USA.
R Priya
Department of Mathematics, PKN Arts College, Madurai, India.
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