The  Appraisal of "Extension theory and its applications" from the  Appraisal Committee headed by Wu Wenjun and Li Youping, the Chinese Academy of  Sciences academician and Chinese Academy of engineering academician  respectively.

The  Appraisal Opinion

"Extension Theory and its Applications" sums up the representation  and processing methods of all kinds of contradictory phenomena since ancient  times. After formalization, logicalization and mathematization, it has formed  an original knowledge structure of Extenics. Its application forms “the  extension engineering method”.

Since  1988, the National Natural Science Foundation of China has supported 6 projects  on Extenics.

This  project is the combination of more than 20 years’ Extenics theoretical  framework and methodology research achievements. It uses formal language to  describe matters, affairs and relations. It studies the formal methods to  resolve contradictory problems. It turns philosophy rules and logic expressed  in natural language into an operable methodology conducted by computers. Up to  now, we have yet to see someone doing similar work so thoroughly at home and  abroad. We agree that this is an original result worthy of support,  encouragement and development.

Base-element  theory, extension set theory and the extension logic are the three pillars of  Extenics. Among them, base-element theory uses matter-element, affair-element  and relation-element to describe the objects of study. Extension set theory is  a creation after the Cantor set and fuzzy set. It expands the distance concept  in real variable function, introduces dependent function tools to describe  qualitative change of objective things, and provides a quantitative means to  express the transformation of contradictory problems. Extension logic is the  scientific integration of dialectical logic and formal logic.

This  project provides basic theory and basic methods to computers to help people  process contradictory problems in engineering field. At present, it has already  had a preliminary application in control and detection, artificial intelligence  and computer science, economics and management and other fields, which  indicates that the methods of Extenics will have a broad application prospects  in engineering field.

In the  area of artificial intelligence, the project established a new model to  describe information and knowledge, and provided a workable method for the  strategy generation.

To sum  up, after more than 20 years of continuous research, Professor Cai Wen and  other researchers have established new disciplines across philosophy,  mathematics and engineering – Extenics. It is an original subject established  by Chinese scientists, and will have far-reaching value.
The Name  List of The Appraisal Committee