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

✍ Scribed by Masahiro Inuiguchi; Salvatore Greco; Roman Słowinski; Tetsuzo Tanino

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 333 KB
• Volume: 137
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(02)00438-4

✦ Synopsis

In this paper, we propose an approach to possibility and necessity measure speciÿcation. This approach is more adequate to human reasoning than direct speciÿcation of conjunction and implication functions. Using the proposed approach, a possibility measure is speciÿed by two modiÿer functions and a strong negation while a necessity measure is speciÿed by two modiÿer functions only. It is demonstrated that many possibility and necessity measures deÿned by famous conjunction and implication functions are obtained by the proposed approach. Conditions for speciÿed 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.