 Fuzzy goal and possibility programming with imprecise goal hierarchyMaged G. Iskander International Journal of Operational Research, 2016, vol. 27, issue 4, 552-561 Abstract: In this paper, the fuzzy goal programming is investigated when both the coefficients and the aspiration levels are considered fuzzy numbers with either trapezoidal or triangular membership functions. The possibility programming approach has been utilised in the case of exceedance possibility and the case of strict exceedance possibility. In many situations, the decision-maker cannot set a precise priority structure for the possibility functions of the fuzzy goals. A membership function for the imprecise relation between different pairs of possibilities has been defined. This function reflects a scale for the degree of importance between any pair of goals. This scale starts from 'almost not important' to 'certainly more important'. Accordingly, there are two types of the membership functions. The first represents the possibility functions of all fuzzy goals, while the second is the membership functions of the imprecise importance relations. The weighted max-min approach is utilised for the two types. The suggested approach is illustrated by a numerical example. Keywords: fuzzy goal programming; possibility programming; imprecise goal hierarchy; weighted max-min approach; fuzzy numbers; membership function. (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:ids:ijores:v:27:y:2016:i:4:p:552-561 Access Statistics for this article More articles in International Journal of Operational Research from Inderscience Enterprises Ltd |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.