Khan, H. U. and Sarmin, N. H. and Khan, A. and Khan, F. M.
(2016)
*Classification of ordered semigroups in terms of generalized interval-valued fuzzy interior ideals.*
Journal of Intelligent Systems, 25
(2).
pp. 297-318.
ISSN 0334-1860

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Official URL: https://www.scopus.com/inward/record.uri?eid=2-s2....

## Abstract

Several applied fields dealing with decision-making process may not be successfully modeled by ordinary fuzzy sets. In such a situation, the interval-valued fuzzy set theory is more applicable than the fuzzy set theory. Using a new approach of "quasi-coincident with relation", which is a central focused idea for several researchers, we introduced the more general form of the notion of (α, β)-fuzzy interior ideal. This new concept is called interval-valued (∈, ∈ V qk)-fuzzy interior ideal of ordered semigroup. As an attempt to investigate the relationships between ordered semigroups and fuzzy ordered semigroups, it is proved that in regular ordered semigroups, the interval-valued (∈, ∈ V qk)-fuzzy ideals and interval-valued (∈, ∈ V qk)-fuzzy interior ideals coincide. It is also shown that the intersection of non-empty class of interval-valued (∈, ∈ V qk)-fuzzy interior ideals of an ordered semigroup is also an interval-valued (∈, ∈ V qk)-fuzzy interior ideal.

Item Type: | Article |
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Uncontrolled Keywords: | Algebra, Computation theory, Computational methods, Decision making, Fuzzy sets, Set theory, Soft computing, Decision making process, Generalized interval, Interval-valued, Interval-valued fuzzy set theory, Interval-valued fuzzy sets, Ordered semigroups, Quasi-coincident with, Semi-group, Fuzzy set theory |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 73704 |

Deposited By: | Haliza Zainal |

Deposited On: | 18 Nov 2017 00:43 |

Last Modified: | 18 Nov 2017 00:43 |

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