THE EXACT DEFINITION OF FUZZY RANDOMNESS: AN APPLICATION OF THE MATHEMATICS OF PARTIAL PRESENCE
Fuzzy randomness leads to fuzzy conclusions. Such fuzzy conclusions can indeed be made in terms of probability. In this article, the concept of fuzzy randomness has been discussed using the mathematics of partial presence. Two important points have been suggested in this article. First, fuzzy...
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| Format: | Article |
| Language: | English |
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Faculty of Applied Management, Economics and Finance – MEF, Belgrade, University Business Academy in Novi Sad
2013-01-01
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| Series: | Journal of Process Management and New Technologies |
| Subjects: | |
| Online Access: | http://www.japmnt.com/images/Volume%201/Issue%201/THE%20EXACT%20DEFINITION%20OF%20FUZZY%20%20%20RANDOMNESS%20AN%20APPLICATION%20OF%20THE%20MATHEMATICS%20OF%20PARTIAL%20PRESENCE.pdf |
| _version_ | 1819290673290936320 |
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| author | Supahi Mahanta Rituparna Chutia Hemanta K. Baruah |
| author_facet | Supahi Mahanta Rituparna Chutia Hemanta K. Baruah |
| author_sort | Supahi Mahanta |
| collection | DOAJ |
| description | Fuzzy randomness leads to fuzzy
conclusions. Such fuzzy conclusions can indeed be
made in terms of probability. In this article, the concept
of fuzzy randomness has been discussed using the
mathematics of partial presence. Two important points
have been suggested in this article. First, fuzzy
randomness should be explained with reference to the
Randomness – Fuzziness Consistency Principle, and
only then the mathematical explanations of fuzzy
randomness would actually be complete. Secondly, in
every case of fuzzy statistical hypothesis testing, the
alternative hypotheses must necessarily be properly
defined. The authors in this article have described
fuzzy randomness with reference to a numerical
example of using the Student’s t-test statistic |
| first_indexed | 2024-12-24T03:26:29Z |
| format | Article |
| id | doaj.art-b358a4186054470e90655ba719adcef8 |
| institution | Directory Open Access Journal |
| issn | 2334-735X 2334-7449 |
| language | English |
| last_indexed | 2024-12-24T03:26:29Z |
| publishDate | 2013-01-01 |
| publisher | Faculty of Applied Management, Economics and Finance – MEF, Belgrade, University Business Academy in Novi Sad |
| record_format | Article |
| series | Journal of Process Management and New Technologies |
| spelling | doaj.art-b358a4186054470e90655ba719adcef82022-12-21T17:17:19ZengFaculty of Applied Management, Economics and Finance – MEF, Belgrade, University Business Academy in Novi SadJournal of Process Management and New Technologies2334-735X2334-74492013-01-0111713THE EXACT DEFINITION OF FUZZY RANDOMNESS: AN APPLICATION OF THE MATHEMATICS OF PARTIAL PRESENCESupahi Mahanta0Rituparna Chutia1Hemanta K. Baruah2 Department of Statistics, Gauhati University, Assam, IndiaDepartment of Mathematics, Gauhati University, Assam, IndiaDepartment of Statistics, Gauhati University, Assam, IndiaFuzzy randomness leads to fuzzy conclusions. Such fuzzy conclusions can indeed be made in terms of probability. In this article, the concept of fuzzy randomness has been discussed using the mathematics of partial presence. Two important points have been suggested in this article. First, fuzzy randomness should be explained with reference to the Randomness – Fuzziness Consistency Principle, and only then the mathematical explanations of fuzzy randomness would actually be complete. Secondly, in every case of fuzzy statistical hypothesis testing, the alternative hypotheses must necessarily be properly defined. The authors in this article have described fuzzy randomness with reference to a numerical example of using the Student’s t-test statistichttp://www.japmnt.com/images/Volume%201/Issue%201/THE%20EXACT%20DEFINITION%20OF%20FUZZY%20%20%20RANDOMNESS%20AN%20APPLICATION%20OF%20THE%20MATHEMATICS%20OF%20PARTIAL%20PRESENCE.pdfComplement of a fuzzy setthe Randomness – Fuzziness Consistency PrincipleStudent’s t-statistic. |
| spellingShingle | Supahi Mahanta Rituparna Chutia Hemanta K. Baruah THE EXACT DEFINITION OF FUZZY RANDOMNESS: AN APPLICATION OF THE MATHEMATICS OF PARTIAL PRESENCE Journal of Process Management and New Technologies Complement of a fuzzy set the Randomness – Fuzziness Consistency Principle Student’s t-statistic. |
| title | THE EXACT DEFINITION OF FUZZY RANDOMNESS: AN APPLICATION OF THE MATHEMATICS OF PARTIAL PRESENCE |
| title_full | THE EXACT DEFINITION OF FUZZY RANDOMNESS: AN APPLICATION OF THE MATHEMATICS OF PARTIAL PRESENCE |
| title_fullStr | THE EXACT DEFINITION OF FUZZY RANDOMNESS: AN APPLICATION OF THE MATHEMATICS OF PARTIAL PRESENCE |
| title_full_unstemmed | THE EXACT DEFINITION OF FUZZY RANDOMNESS: AN APPLICATION OF THE MATHEMATICS OF PARTIAL PRESENCE |
| title_short | THE EXACT DEFINITION OF FUZZY RANDOMNESS: AN APPLICATION OF THE MATHEMATICS OF PARTIAL PRESENCE |
| title_sort | exact definition of fuzzy randomness an application of the mathematics of partial presence |
| topic | Complement of a fuzzy set the Randomness – Fuzziness Consistency Principle Student’s t-statistic. |
| url | http://www.japmnt.com/images/Volume%201/Issue%201/THE%20EXACT%20DEFINITION%20OF%20FUZZY%20%20%20RANDOMNESS%20AN%20APPLICATION%20OF%20THE%20MATHEMATICS%20OF%20PARTIAL%20PRESENCE.pdf |
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