Generalization of intuitionistic fuzzy ideals via (∂ ˜, ℘˜) intuitionistic Q interval-valued fuzzy ideals using regular ordered t

Abstract

This paper introduces the notion of ∂˜, ℘˜ intuitionistic Q interval-valued fuzzy subsemigroup (IQVFSS), fuzzy left ideal (IQVFLI), fuzzy right ideal (IQVFRI), fuzzy lateral ideal (IQVFLATI), fuzzy ideal (IQVFI), and fuzzy bi-ideal (IQVFBI) of an ordered semigroups. Let ∂˜, ℘˜-IQVFI is a new extension of IQVFI over ternary semigroups Z . The subset ~ = [< =] represents a (∂˜, ℘˜) − IQV F SS[IQV F LI, IQV FRI, IQV F LAT I, IQV FBI] of Z if and only if every level subset ~t is an SS [LI, RI, LAIQV F, T BI] of Z for every t ∈ (∂˜, ℘˜]. A few examples can be presented to demonstrate our results.