Open AccessA NEW VIEW OF FUZZY ORDERED SEMIGROUPS
Author(s) -
Hidayat Ullah Khan,
Asghar Khan,
Faiz M. Khan,
Amir Khan,
Muhammad Taj
Publication year - 2018
Publication title -
journal of marketing and information systems
Language(s) - English
Resource type - Journals
eISSN - 2664-7990
pISSN - 2664-7982
DOI - 10.31580/ojst.v1i1.150
Subject(s) - mathematics , fuzzy logic , fuzzy subalgebra , filter (signal processing) , generalization , fuzzy number , fuzzy set , defuzzification , fuzzy set operations , interval (graph theory) , type 2 fuzzy sets and systems , discrete mathematics , algebra over a field , artificial intelligence , pure mathematics , computer science , combinatorics , mathematical analysis , computer vision
fuzzy coding theory, fuzzy finite state machines, and fuzzy languages. In this paper, we introduce the concept of an interval-valued -fuzzy filter of an ordered semigroup, where with. Since the concept of an interval-valued -fuzzy filter is an important and useful generalization of the ordinary interval-valued fuzzy filter, we discuss some fundamental aspects of an interval-valued -fuzzy filters. An interval-valued -fuzzy filter is a generalization of the existing concept of an interval-valued fuzzy filter. We discuss the concept of an interval-valued -fuzzy left (right)-filters and provide some characterization theorems. Finally, we extend the concept of an interval-valued fuzzy subgroup with thresholds to the concept of an interval-valued fuzzy left (right)-filter with thresholds of s.