LGU-Combined-Consciousness State Model

Abstract

This article aims to introduce some modern algebraic structures as hyper super matrices. The classical
algebra and matrices cannot process higher-dimensional information with several levels of ambiguity and
uncertainty. Hence, it is necessary to establish such superalgebraic structures that can organize and
classify the uncertain and incomplete information floating in parallel higher dimensions as facts, events,
or realities. To achieve the desired goal, a particular construction of Hypersoft Matrix (HS-Matrix) and
Subjectively Whole Hyper-SuperSoft Matrix (SWHSS-Matrix) is offered in a plithogenic Fuzzy
environment initially, and some aggregation operators are formulated. A Local-Global-Universal
Combined Consciousness State Ranking Model is formulated as an application. As the classification of
non-physical phenomena like state of physical health or Consciousness has not yet been addressed in the
area of decision making therefor the proposed model will open a new dimension of classification of the
non-physical part of the universe in which one can select the most suitable possible reality from several
parallel realities which would be useful in the field of artificial intelligence. This model classifies the
accumulated states of matter bodies (subjects). And gives a possible description of the CombinedConsciousness State of a Universe. In addition, it offers a local ranking by observing the information
through several angles of vision, just like a human mind does, and a universal ranking by classifying the
accumulated states. Furthermore, the final Global Ranking is achieved by constructing a percentage
frequency-matrix and an authenticity measure of the order is offered. A numerical example is constructed
to describe SWHSS-Matrix and LGU-Ranking Model. Some pie graphs are used to describe the individual
states, accumulated states, and the ultimate accumulated universal state of all given subjects (a Combined
Conscious State of Universe).