佳木斯大学学报(自然科学版)
佳木斯大學學報(自然科學版)
가목사대학학보(자연과학판)
JOURNAL OF JIAMUSI UNIVERSITY (NATURAL SCIENCE EDITION)
2015年
2期
290-294
,共5页
犹豫模糊软集%距离测度%前景理论%多准则决策
猶豫模糊軟集%距離測度%前景理論%多準則決策
유예모호연집%거리측도%전경이론%다준칙결책
hesitate fuzzy soft set%distance measure%prospect theory%MCDM
犹豫模糊软集结合了软集和犹豫模糊集的优势,但目前学者们对犹豫模糊软集的相关研究还比较少,因此对其进行研究是非常有必要的。首先,定义了几种常见的犹豫模糊软集距离测度。然后,在距离测度的基础上,将前景理论引入到犹豫模糊软集中,提出了基于前景理论的犹豫模糊软集多准则决策方法。最后,通过算例分析验证了该方法的可行性和有效性。
猶豫模糊軟集結閤瞭軟集和猶豫模糊集的優勢,但目前學者們對猶豫模糊軟集的相關研究還比較少,因此對其進行研究是非常有必要的。首先,定義瞭幾種常見的猶豫模糊軟集距離測度。然後,在距離測度的基礎上,將前景理論引入到猶豫模糊軟集中,提齣瞭基于前景理論的猶豫模糊軟集多準則決策方法。最後,通過算例分析驗證瞭該方法的可行性和有效性。
유예모호연집결합료연집화유예모호집적우세,단목전학자문대유예모호연집적상관연구환비교소,인차대기진행연구시비상유필요적。수선,정의료궤충상견적유예모호연집거리측도。연후,재거리측도적기출상,장전경이론인입도유예모호연집중,제출료기우전경이론적유예모호연집다준칙결책방법。최후,통과산례분석험증료해방법적가행성화유효성。
Hesitate fuzzy soft set combines the advantages of soft sets and hesitate fuzzy sets , but scholars on related studies of hesitate fuzzy soft set is still relatively few .Therefore , it is very necessary to study the hesi-tate fuzzy soft set .First, some common distance measures of hesitate fuzzy soft set are defined .Then, on the ba-sis of distance measures , the prospect theory was applied into hesitate fuzzy soft set and the hesitate fuzzy soft set MCDM methods were proposed based on prospect theory .Finally, the feasibility and effectiveness of this method were verified by a numerical example .