中文摘要：

可拓学用形式化的模型研究事物拓展的可能性和开拓创新的规律与方法,其目标是按照一定的程序或利用计算机与网络帮助处理各行各业的矛盾问题,实现矛盾问题智能化处理（IPCP）。本文从＂可拓集与不相容问题＂所开创的研究方向,综述可拓集与不相容问题、转换桥与对立问题、矛盾问题智能化处理等方向的研究进展。

英文摘要：

Extenics is a new discipline： Using the formal model to study the extension possibility of things, the rules and methods of innovation. It aims to help people in various industries solve contradictory problems according to some procedures or using computer and network, and is also referred to as intelligent processing of contradictory problems （IPCP）. This paper summarizes the research progress on extension set and incompatible problems, transforming bridge and antithetical problems, and intelligent processing of contradictory problems.