A New Type of Interval-valued Fuzzy Filters of Ordered Semigroups

DOI

10.2991/ammsa-17.2017.69How to use a DOI?

Keywords

filters; ordered semigroups; fuzzy filters; interval-valued fuzzy subset; interval-valued fuzzy left (right) filters; intervalvalued ( , q )-fuzzy filters

Abstract

One of the advantageous generalizations of Zadeh's fuzzy set theory is the concept of interval-valued fuzzy subset. This generalization of fuzzy subset is frequently and successfully applied by engineers and scientists in the fields of Robotics, Control Theory and Computer Engineering. The purpose of this study is to investigate another generalization of I-V ( , qk) -fuzzy filters (in short I-V ( , qk) -FFs). Therefore we employed the existing concept of I-V-FS theory in the structure of ordered semigroup to introduce I-V ( , q ) -FFs. In this research, investigating the relationship of ordinary interval-valued fuzzy filters (in short I-V-FFs) with these new type I-V-FFs, a condition is determined under which I-V-FFs of type ( , q ) will be ordinary I-V-FFs. Finally, ordinary I-V-FFs are linked with these new notions by means of I-V level subsets.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Hidayat Ullah Khan
AU  - Asghar Khan
AU  - Faiz Muhammad Khan
AU  - Yongjin Li
PY  - 2017/05
DA  - 2017/05
TI  - A New Type of Interval-valued Fuzzy Filters of Ordered Semigroups
BT  - Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)
PB  - Atlantis Press
SP  - 303
EP  - 308
SN  - 1951-6851
UR  - https://doi.org/10.2991/ammsa-17.2017.69
DO  - 10.2991/ammsa-17.2017.69
ID  - Khan2017/05
ER  -