Categories of (I,I)-Fuzzy Greedoids
The concepts of I-greedoids, fuzzifying greedoids, and (I,I)-fuzzy greedoids are introduced and feasibility preserving mappings between greedoids are defined. Then I-feasibility preserving mappings, fuzzifying feasibility preserving mappings, and (I,I)-fuzzy feasibility preserving mappings are given...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/543247 |
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| _version_ | 1832549871478898688 |
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| author | Zhen-Yu Xiu Fu-Gui Shi |
| author_facet | Zhen-Yu Xiu Fu-Gui Shi |
| author_sort | Zhen-Yu Xiu |
| collection | DOAJ |
| description | The concepts of I-greedoids, fuzzifying greedoids, and (I,I)-fuzzy greedoids are introduced and feasibility preserving mappings between greedoids are defined. Then I-feasibility preserving mappings, fuzzifying feasibility preserving mappings, and (I,I)-fuzzy feasibility preserving mappings are given as generalizations of feasibility preserving mappings. We study the relations among greedoids, I-greedoids, fuzzifying greedoids, and (I,I)-fuzzy greedoids from a categorical point of view. |
| format | Article |
| id | doaj-art-9c5b1346eae14fdd8fde69cfe4754e89 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-9c5b1346eae14fdd8fde69cfe4754e892025-02-03T06:08:18ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/543247543247Categories of (I,I)-Fuzzy GreedoidsZhen-Yu Xiu0Fu-Gui Shi1College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610000, ChinaSchool of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, ChinaThe concepts of I-greedoids, fuzzifying greedoids, and (I,I)-fuzzy greedoids are introduced and feasibility preserving mappings between greedoids are defined. Then I-feasibility preserving mappings, fuzzifying feasibility preserving mappings, and (I,I)-fuzzy feasibility preserving mappings are given as generalizations of feasibility preserving mappings. We study the relations among greedoids, I-greedoids, fuzzifying greedoids, and (I,I)-fuzzy greedoids from a categorical point of view.http://dx.doi.org/10.1155/2015/543247 |
| spellingShingle | Zhen-Yu Xiu Fu-Gui Shi Categories of (I,I)-Fuzzy Greedoids Journal of Function Spaces |
| title | Categories of (I,I)-Fuzzy Greedoids |
| title_full | Categories of (I,I)-Fuzzy Greedoids |
| title_fullStr | Categories of (I,I)-Fuzzy Greedoids |
| title_full_unstemmed | Categories of (I,I)-Fuzzy Greedoids |
| title_short | Categories of (I,I)-Fuzzy Greedoids |
| title_sort | categories of i i fuzzy greedoids |
| url | http://dx.doi.org/10.1155/2015/543247 |
| work_keys_str_mv | AT zhenyuxiu categoriesofiifuzzygreedoids AT fuguishi categoriesofiifuzzygreedoids |