regular function

Authors, define and establish a new subclass of harmonic regular schlicht functions (HSF) in the open unit disc through the use of the extended generalized Noor-type integral operator associated with the ξ-generalized Hurwitz-Lerch Zeta function (GHLZF). Furthermore, some geometric properties of this subclass are also studied.

‎This paper deals with one problem that needs to be addressed in the emerging field known under the name computing with perceptions‎. ‎It is the problem of describing‎, ‎approximately‎, ‎a given fuzzy set in natural‎ ‎language‎. ‎This problem has lately been referred to as the problem of retranslation‎. ‎An approaches to ‎dealing with the retranslation problem is discussed in the paper‎, ‎that is based on a pre-defined set of ‎linguistic terms and the associated fuzzy sets‎. ‎The retranslation problem is discussed in ‎terms of two criteria validity and informativeness‎.