✦ LIBER ✦

Fuzzy arithmetic with requisite constraints

✍ Scribed by George J. Klir

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 617 KB
Volume: 91
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(97)00138-3

No coin nor oath required. For personal study only.

✦ Synopsis

The purpose of this paper is to show that the standard fuzzy arithmetic does not take into account known constraints when applied to states of linguistic variables. These constraints, referred to as requisite constraints, represent additional information. When they are ignored, as in the standard fuzzy arithmetic, the obtained results exhibit, in general, information deficiency. It is thus important, as argued in the paper, to revise fuzzy arithmetic to take relevant requisite constraints into account. Some typical requisite constraints are overviewed, with a more extensive examination of the requisite equality constraint (crisp or fuzzy).

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