COMMUNICATION AMONG AGENTS: A SET THEORETIC APPROACH
This paper uses the notion of relative sets in relation to fuzzy set theory to provide a mathematical framework to analyze communication among agents. Each relative set partitions all objects into four distinct regions corresponding to four truth-values of Belnap’s logic. Two orderings on relative...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Gdańsk University of Technology
2003-01-01
|
| Series: | TASK Quarterly |
| Subjects: | |
| Online Access: | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2211 |
| _version_ | 1811307609093832704 |
|---|---|
| author | AMIN MOUSAVI PARVIZ JABEDAR-MARALANI |
| author_facet | AMIN MOUSAVI PARVIZ JABEDAR-MARALANI |
| author_sort | AMIN MOUSAVI |
| collection | DOAJ |
| description |
This paper uses the notion of relative sets in relation to fuzzy set theory to provide a mathematical framework to analyze communication among agents. Each relative set partitions all objects into four distinct regions corresponding to four truth-values of Belnap’s logic. Two orderings on relative sets are considered; one is an extension of the classical set inclusion ordering while the other is a new ordering of knowledge or information. According to these orderings, we can divide set theoretic problems into two major categories: reasoning problems and communicating problems. In the first category, an agent tries to extract a sound decision through granular reasoning. In this case, a granule represents a concept or a word. In the second category, each granule relates to an agent, and the problem is to compare agents’ knowledge about concepts by their related granules, e.g. a knowledge reduction problem. Then, we concentrate on the second category of problems and try to investigate this kind of problems in the context of fuzzy settheory. In this way, we could provide a basis for modeling and analyzing the relations among machines, which could communicate with each other using words and granules.
|
| first_indexed | 2024-04-13T09:07:51Z |
| format | Article |
| id | doaj.art-0679a2d3255949c8adc36e639651e85f |
| institution | Directory Open Access Journal |
| issn | 1428-6394 |
| language | English |
| last_indexed | 2024-04-13T09:07:51Z |
| publishDate | 2003-01-01 |
| publisher | Gdańsk University of Technology |
| record_format | Article |
| series | TASK Quarterly |
| spelling | doaj.art-0679a2d3255949c8adc36e639651e85f2022-12-22T02:52:57ZengGdańsk University of TechnologyTASK Quarterly1428-63942003-01-0171COMMUNICATION AMONG AGENTS: A SET THEORETIC APPROACHAMIN MOUSAVI0PARVIZ JABEDAR-MARALANI1International School for Advanced Studies (SISSA)University of Tehran, Department of Electrical and Computer Engineering This paper uses the notion of relative sets in relation to fuzzy set theory to provide a mathematical framework to analyze communication among agents. Each relative set partitions all objects into four distinct regions corresponding to four truth-values of Belnap’s logic. Two orderings on relative sets are considered; one is an extension of the classical set inclusion ordering while the other is a new ordering of knowledge or information. According to these orderings, we can divide set theoretic problems into two major categories: reasoning problems and communicating problems. In the first category, an agent tries to extract a sound decision through granular reasoning. In this case, a granule represents a concept or a word. In the second category, each granule relates to an agent, and the problem is to compare agents’ knowledge about concepts by their related granules, e.g. a knowledge reduction problem. Then, we concentrate on the second category of problems and try to investigate this kind of problems in the context of fuzzy settheory. In this way, we could provide a basis for modeling and analyzing the relations among machines, which could communicate with each other using words and granules. https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2211computing with wordsgranular computingfuzzy setsrough setsmulti-valued logic |
| spellingShingle | AMIN MOUSAVI PARVIZ JABEDAR-MARALANI COMMUNICATION AMONG AGENTS: A SET THEORETIC APPROACH TASK Quarterly computing with words granular computing fuzzy sets rough sets multi-valued logic |
| title | COMMUNICATION AMONG AGENTS: A SET THEORETIC APPROACH |
| title_full | COMMUNICATION AMONG AGENTS: A SET THEORETIC APPROACH |
| title_fullStr | COMMUNICATION AMONG AGENTS: A SET THEORETIC APPROACH |
| title_full_unstemmed | COMMUNICATION AMONG AGENTS: A SET THEORETIC APPROACH |
| title_short | COMMUNICATION AMONG AGENTS: A SET THEORETIC APPROACH |
| title_sort | communication among agents a set theoretic approach |
| topic | computing with words granular computing fuzzy sets rough sets multi-valued logic |
| url | https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2211 |
| work_keys_str_mv | AT aminmousavi communicationamongagentsasettheoreticapproach AT parvizjabedarmaralani communicationamongagentsasettheoreticapproach |