Possibility and necessity measure specification using modifiers for decision making under fuzziness

M. Inuiguchi, Salvatore Greco, R. Slowinski, T. Tanino

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we propose an approach to possibility and necessity measure specification. This approach is more adequate to human reasoning than direct specification of conjunction and implication functions. Using the proposed approach, a possibility measure is specified by two modifier functions and a strong negation while a necessity measure is specified by two modifier functions only. It is demonstrated that many possibility and necessity measures defined by famous conjunction and implication functions are obtained by the proposed approach. Conditions for specified measures to have good properties are also given. Finally, a simple example of application of possibility and necessity measures to a decision problem is given.
Original languageEnglish
Pages (from-to)151-175
Number of pages25
JournalFuzzy Sets and Systems
Volume137
Issue number1
DOIs
Publication statusPublished - 1 Jun 2003

Fingerprint

Dive into the research topics of 'Possibility and necessity measure specification using modifiers for decision making under fuzziness'. Together they form a unique fingerprint.

Cite this