<div style="text-align:justify;"> Recently most of the authors focused on dealing with uncertainty. To deal with that algebra of fuzzy sets is introduced in three-way fuzzy space. It gave way to charac...<div style="text-align:justify;"> Recently most of the authors focused on dealing with uncertainty. To deal with that algebra of fuzzy sets is introduced in three-way fuzzy space. It gave way to characterize the attributes in true, false or uncertain regions. It is found in chemistry also as an electron, proton and neutron. The problem arises when the attributes are beyond the three-dimensions. One of suitable examples is winning, draw or loss of a match cannot define the win draw or loss of series. It is measured in international relationships also like USA-China, USA-Russia, India-Pakistan or Israel-Philistine. Some countries support the USA, some countries support China, some countries are neutral in hidden consciousness to fulfill their agenda. It is also measured in democratic countries like India where some people vote in favor of a party, some people vote against the given party, some people may be absent or walkout whereas some people vote NOTA. This last dimension is called as Turiyam or fourth dimension. This last dimension is influenced from Yin-Yang theory of Chinese Taoism as well as Sanskrit Yamma-Yammi and its complement. The Turiya means measuring each dimension in silent mode. There is less attention paid towards the necessity of fourth dimensions and its algebra. This paper will discuss gimbal lock of three-way fuzzy space using the Tuiyam set and its algebra. </div>展开更多
Recently,dealing with the non-Euclidean data and its characterization is considered as one of the major issues by researchers.The first problem arises while defining the distinction among Euclidean and non-Euclidean g...Recently,dealing with the non-Euclidean data and its characterization is considered as one of the major issues by researchers.The first problem arises while defining the distinction among Euclidean and non-Euclidean geometry with its examples.The second problem arises while dealing with the non-Euclidean geometry in true,false,and uncertain regions.The third problem arises while investigating some patterns in non-Euclidean data sets.This paper focused on tackling these issues with some real-life examples in data processing,data visualization,knowledge representation,and quantum computing.展开更多
Recently, the Turiyam set was introduced for characterization of data sets beyond true, false, and uncertain regionsbased on human cognition. This set is able to represent the unknown, undefined, or conduit metaphor o...Recently, the Turiyam set was introduced for characterization of data sets beyond true, false, and uncertain regionsbased on human cognition. This set is able to represent the unknown, undefined, or conduit metaphor of human quantumcognition precisely. One of the suitable examples is USA–Russia conflicts or Cold war is beyond the characterization of win,draw, or loss. It is totally based on the conduit metaphor of USA and Russia. In this case, a set of countries that may supportRussia (Sr) can be characterized as true regions. A set of countries that does not support Russia (i.e., supporting the USA) can becharacterized as false regions (Su). There is also a set of countries that supports both Russia–USA based on the given situation.These types of countries and their vote are uncertain. The fourth case is some countries like India, China, and UAE that choosenothing to fulfill their conduit metaphor. It is called Turiyam or four-dimension cognition. The characterization of this typeof four-dimension Turiyam cognition and its representation is one of the crucial tasks for data science researchers. It is indeed arequirement to understand the human quantum cognition and its conduit metaphor. To tackle this issue, the current paper will tryto introduce a method for characterization of this undefined, unknown, or Turiyam cognition via a defined interval set. Theobjective is to provide a way to explore them in known graph (t), not known graph (f), partial graph (i), or unknown graph (l) withan example.展开更多
Recent time handling uncertainty and its measurement is considered as one of the major issues by data science and applied mathematics researchers. It becomes more complex when the dynamicity exists in data sets. One o...Recent time handling uncertainty and its measurement is considered as one of the major issues by data science and applied mathematics researchers. It becomes more complex when the dynamicity exists in data sets. One of the suitable examples is Scopus data sets which changes every time. In this case, precise measurement of consistency in document and citation publications is considered as one of the issues. It becomes more complex when the parameter like h-index and document count can be also manipulated over the period of time. To resolve this issue, a time-based index called as “t-index” is illustrated in this paper with an example. This method measures the randomness in document publication and citation using the average h-index and its entropy measurement.展开更多
文摘<div style="text-align:justify;"> Recently most of the authors focused on dealing with uncertainty. To deal with that algebra of fuzzy sets is introduced in three-way fuzzy space. It gave way to characterize the attributes in true, false or uncertain regions. It is found in chemistry also as an electron, proton and neutron. The problem arises when the attributes are beyond the three-dimensions. One of suitable examples is winning, draw or loss of a match cannot define the win draw or loss of series. It is measured in international relationships also like USA-China, USA-Russia, India-Pakistan or Israel-Philistine. Some countries support the USA, some countries support China, some countries are neutral in hidden consciousness to fulfill their agenda. It is also measured in democratic countries like India where some people vote in favor of a party, some people vote against the given party, some people may be absent or walkout whereas some people vote NOTA. This last dimension is called as Turiyam or fourth dimension. This last dimension is influenced from Yin-Yang theory of Chinese Taoism as well as Sanskrit Yamma-Yammi and its complement. The Turiya means measuring each dimension in silent mode. There is less attention paid towards the necessity of fourth dimensions and its algebra. This paper will discuss gimbal lock of three-way fuzzy space using the Tuiyam set and its algebra. </div>
文摘Recently,dealing with the non-Euclidean data and its characterization is considered as one of the major issues by researchers.The first problem arises while defining the distinction among Euclidean and non-Euclidean geometry with its examples.The second problem arises while dealing with the non-Euclidean geometry in true,false,and uncertain regions.The third problem arises while investigating some patterns in non-Euclidean data sets.This paper focused on tackling these issues with some real-life examples in data processing,data visualization,knowledge representation,and quantum computing.
文摘Recently, the Turiyam set was introduced for characterization of data sets beyond true, false, and uncertain regionsbased on human cognition. This set is able to represent the unknown, undefined, or conduit metaphor of human quantumcognition precisely. One of the suitable examples is USA–Russia conflicts or Cold war is beyond the characterization of win,draw, or loss. It is totally based on the conduit metaphor of USA and Russia. In this case, a set of countries that may supportRussia (Sr) can be characterized as true regions. A set of countries that does not support Russia (i.e., supporting the USA) can becharacterized as false regions (Su). There is also a set of countries that supports both Russia–USA based on the given situation.These types of countries and their vote are uncertain. The fourth case is some countries like India, China, and UAE that choosenothing to fulfill their conduit metaphor. It is called Turiyam or four-dimension cognition. The characterization of this typeof four-dimension Turiyam cognition and its representation is one of the crucial tasks for data science researchers. It is indeed arequirement to understand the human quantum cognition and its conduit metaphor. To tackle this issue, the current paper will tryto introduce a method for characterization of this undefined, unknown, or Turiyam cognition via a defined interval set. Theobjective is to provide a way to explore them in known graph (t), not known graph (f), partial graph (i), or unknown graph (l) withan example.
文摘Recent time handling uncertainty and its measurement is considered as one of the major issues by data science and applied mathematics researchers. It becomes more complex when the dynamicity exists in data sets. One of the suitable examples is Scopus data sets which changes every time. In this case, precise measurement of consistency in document and citation publications is considered as one of the issues. It becomes more complex when the parameter like h-index and document count can be also manipulated over the period of time. To resolve this issue, a time-based index called as “t-index” is illustrated in this paper with an example. This method measures the randomness in document publication and citation using the average h-index and its entropy measurement.
