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FUZZY SOFT POSITIVE IMPLICATIVE HYPER <i>BCK</i>-IDEALS OF SEVERAL TYPESopen access
- Authors
- Khademan, S.; Zahedi, M. M.; Borzooei, R. A.; Jun, Y. B.
- Issue Date
- Dec-2020
- Publisher
- UNIV MISKOLC INST MATH
- Keywords
- hyper BCK-algebra; fuzzy soft (weak, strong) hyper BCK-ideal; fuzzy soft positive implicative hyper BCK-ideal of types (<<, subset of, subset of), (<<, <<, subset of) and (subset of, <<, subset of)
- Citation
- MISKOLC MATHEMATICAL NOTES, v.22, no.1, pp 299 - 315
- Pages
- 17
- Indexed
- SCIE
SCOPUS
- Journal Title
- MISKOLC MATHEMATICAL NOTES
- Volume
- 22
- Number
- 1
- Start Page
- 299
- End Page
- 315
- ISSN
- 1787-2405
1787-2413
- Abstract
- Fuzzy soft positive implicative hyper BCK-ideal of types (<<, subset of, subset of), (<<, <<, subset of) and (subset of, <<, subset of) are introduced, and their relations are investigated. Relations between fuzzy soft strong hyper BCK-ideal and fuzzy soft positive implicative hyper BCK-ideal of types (<<, subset of, subset of) and (<<, <<, subset of) are discussed. We prove that the level set of fuzzy soft positive implicative hyper BCK-ideal of types (<<, subset of, subset of), (<<, <<, subset of) and (subset of, <<, subset of) are positive implicative hyper BCK-ideal of types (<<, subset of, subset of), (<<, <<, subset of) and (subset of, <<, subset of), respectively. Conditions for a fuzzy soft set to be a fuzzy soft positive implicative hyper BCK-ideal of types (<<, subset of, subset of), (<<, <<, subset of) and (subset of, <<, subset of), respectively, are founded, and conditions for a fuzzy soft set to be a fuzzy soft weak hyper BCK-ideal are considered.
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