区间值广义正交模糊Frank算子及群决策方法

计算机工程与科学 ›› 2022, Vol. 44 ›› Issue (02): 345-354.

区间值广义正交模糊Frank算子及群决策方法

万本庭,方地长

（江西财经大学软件与物联网工程学院,江西南昌 330013）

收稿日期:2020-05-11 修回日期:2020-10-30 接受日期:2022-02-25 出版日期:2022-02-25 发布日期:2022-02-18
基金资助:
国家自然科学基金(61363075);江西省教育厅科技项目(GJJ180270);
深圳市中央引导地方科技发展基金项目(2021Szvup052)

Interval-valued q-Rung orthopair fuzzy Frank operator and its group decision method

WAN Ben-ting,FANG Di-chang#br#

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（School of Software and IoT Engineering,Jiangxi University of Finance and Economics,Nanchang 330013,China）

Received:2020-05-11 Revised:2020-10-30 Accepted:2022-02-25 Online:2022-02-25 Published:2022-02-18

摘要/Abstract

摘要： 基于区间值广义正交模糊环境和Frank算子，定义了区间值广义正交模糊Frank算子的运算法则，提出了区间值广义正交模糊Frank加权平均算子（IVq-ROFFWA）和加权几何算子（IVq-ROFFWG），并研究了它们的幂等性、有界性和单调性。然后提出了基于IVq-ROFFWA算子的多属性群决策方法（MAGDM），该方法通过选取满足条件的q值，使用IVq-ROFFWA算子集结得到目标区间值模糊数，比较它们的得分得到最优方案，还得出了不同q值不影响最优方案排序的结论。最后通过实际案例验证了基于IVq-ROFFWA算子的多属性群决策方法的可行性和有效性，验证了不同q值不影响最优方案排序的结论。经过比较分析，基于IVq-ROFFWA算子和IVq-ROFFWG算子的群决策方法与基于其他算子的群决策方法运算结果一致。

关键词: 区间值, 广义正交模糊, Frank算子, 群决策

Abstract: Based on the interval-valued q-Rung orthopair fuzzy environment and the Frank operator, some operation rules of the interval-valued q-Rung orthopair fuzzy Frank operator are defined, the interval-valued q-Rung orthopair fuzzy Frank weighted average operator (IVq-ROFFWA) and the weighted geometric operator (IVq-ROFFWG) are proposed based on the research of their idempotency, boundedness and monotonicity. Then, a multi-attribute group decision method (MAGDM) based on the IVq-ROFFWA operator is proposed, which selects the value of q satisfying requirements and obtains the target interval-valued fuzzy numbers by the IVq-ROFFWA, compares their scores to obtain the optimal solution, and also proposes that different q values do not affect the optimal solution ranking. Finally, the IVq-ROFFWA operator based multi-attribute group decision making method is verified to be feasible and effective. It is also verified that different q values do not affect the optimal solution ordering. The comparative analysis shows that the group decision methods based on IVq-ROFFWA and IVq-ROFFWG operators are consistent with the group decision methods based on other operators.

Key words: interval-valued, q-Rung orthopair fuzzy, Frank operator, group decision making

万本庭, 方地长. 区间值广义正交模糊Frank算子及群决策方法[J]. 计算机工程与科学, 2022, 44(02): 345-354.

WAN Ben-ting, FANG Di-chang. Interval-valued q-Rung orthopair fuzzy Frank operator and its group decision method[J]. Computer Engineering & Science, 2022, 44(02): 345-354.