Information quanta and approximation spaces. I. Non-classical approximation operators

Pagliani, Piero

doi:10.1109/grc.2005.1547363

Cited by 16 publications

(7 citation statements)

References 10 publications

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“…In the present paper we considered some consequences of the information quantum nature (Pagliani and Chakraborty, 2005a;2005b;Wolski, 2006). It was pointed out that each observed object can be constructed of information quanta.…”

Section: Discussionmentioning

confidence: 99%

“…If there is no observer, this means the World does not exist. Pagliani and Chakraborty, 2005a;2005b;Pawlak, 2002;Wolski, 2006. Notice that, according (Pagliani and Chakraborty, 2005b), "any information is a quantum of information".…”

Section: Notes On the Observersmentioning

confidence: 99%

“…The first problem with what we shall be occupied is whether the abovementioned objects and the information are different things or, maybe, they form the same entity (Stonier, 1996) that is displayed differently in different situations, or, exactly, at different kinds of measurements performed by observers (Pagliani and Chakraborty, 2005a;2005b)? Let us suppose that the information has quantum structure, i.e., consists of information quanta (Pagliani and Chakraborty, 2005a;2005b;Wolski 2006). If there is a set of more than one information quanta, information of a quant may order, in particular, the joining of a number of quanta, maybe even a big number of them, in clusters, as well as the inverse operation, i. e., the decay of such clusters of quanta.…”

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confidence: 99%

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Information Basis of the World Structure, Universe Origin and Teleportation Phenomenon

Temkin¹

2012

Neuroquantology

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In the present paper some consequences of the information quantum structure are considered. It is pointed out that objects of the material world are built of information quanta. Note that the concept of matter never was and apparently cannot be defined as a fundamental concept, but we customarily use it forgetting the logic. In other words, the matter and the information is the same entity appearing differently at different situations, or, exactly, at different kinds of observation. In this pair the information is the fundamental concept, while the matter is the secondary one. The teleportation is considered from this point of view, which means that in all cases, including the material object teleportation, at the end it is reduced to the information teleportation.

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Section: Discussionmentioning

confidence: 99%

Section: Notes On the Observersmentioning

confidence: 99%

mentioning

confidence: 99%

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Information Basis of the World Structure, Universe Origin and Teleportation Phenomenon

Temkin¹

2012

Neuroquantology

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“…As we all have known, the original approach proposed by Wille et al is based on adjunctions, or Galois connections [29], which follows that the compositions of derivation operators in FCA form closure operators [18][19]. Then we say that ι and σ fulfill an adjointness relation if the following holds [18][19]:…”

Section: Figmentioning

confidence: 99%

“…This name is after the notion of a Galois connection which is defined by means of a similar but covariant condition where, indeed, ι and σ are antitone [18][19]:…”

Section: Figmentioning

confidence: 99%

Relational Contexts and Relational Concepts

Jiang

Sui

Cao

2010

Fundamenta Informaticae

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Formal concept analysis (FCA) is a mathematical description and theory of concepts implied in formal contexts. And the current formal contexts of FCA aim to model the binary relations between individuals (objects) and attributes in the real world. In the real world we usually describe each individual by some attributes, which induces the relations between individuals and attributes. But there also exist many relations between individuals, for instance, the parent-children relation in a family. In this paper, to model the relations between individuals in the real world, we propose a new context -relational context for FCA, which contains a set U of objects and a binary relation r on U. Corresponding to the formal concepts in formal contexts, we present different kinds of relational concepts in relational contexts, which are the pairs of sets of objects. First we define the standard relational concepts in relational contexts. Moreover, we discuss the indirect relational concepts and negative relational concepts in relational contexts, which aim to concern the indirection and negativity of the relations in relational contexts, respectively. Finally, we define the hybrid relational concepts in relational contexts, which are the combinations of any two different kinds of relational concepts. In addition, we also discuss the application of relational contexts and relational concepts in the supply chain management field.

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Rough Set Approximations in Formal Concept Analysis

Yao

Chen

2006

Lecture Notes in Computer Science

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This paper proposes a generalized definition of rough set approximations, based on a subsystem of subsets of a universe. The subsystem is not assumed to be closed under set complement, union and intersection. The lower or upper approximation is no longer one set but composed of several sets. As special cases, approximations in formal concept analysis and knowledge spaces are examined. The results provide a better understanding of rough set approximations.

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Information quanta and approximation spaces. I. Non-classical approximation operators

Cited by 16 publications

References 10 publications

Information Basis of the World Structure, Universe Origin and Teleportation Phenomenon

Information Basis of the World Structure, Universe Origin and Teleportation Phenomenon

Relational Contexts and Relational Concepts

Rough Set Approximations in Formal Concept Analysis

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