Fundamentals of M-vague algebra and M-vague arithmetic operations

Demirci M.

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, vol.10, no.1, pp.25-75, 2002 (SCI-Expanded) identifier identifier


In the present work, the development of a new and general theory of algebraic concepts based on *-fuzzy equalities and strong fuzzy functions is begun, and several fundamental results are established under the name M-vague algebra. As a natural implementation of the M-vague algebraic approach, new kinds of arithmetic operations, namely M-vague arithmetic operations, are introduced using an approach different from the traditional approach to fuzzy arithmetic operations, and various kinds of M-vague algebraic properties of M-vague arithmetic operations are investigated.