This paper proposes a novel approach to cope with the multi-criteria group decision-making problems. We give the pairwise comparisons based on the best-worst-method (BWM), which can decrease comparison times. Additionally, our comparison results are determined with the positive and negative aspects. In order to deal with the decision matrices effectively, we consider the elimination and choice translation reality (ELECTRE III) method under the intuitionistic multiplicative preference relations environment. The ELECTRE III method is designed for a double-automatic system. Under a certain limitation, without bothering the decision-makers to reevaluate the alternatives, this system can adjust some special elements that have the most influence on the group’s satisfaction degree. Moreover, the proposed method is suitable for both the intuitionistic multiplicative preference relation and the interval valued fuzzy preference relations through the transformation formula. An illustrative example is followed to demonstrate the rationality and availability of the novel method.

Efficient utilization of human resources is an important force for the sustainable development of society and the economy. Against the backdrop of the development of economic globalization, the Chinese Government is presently implementing the strategy of “Strengthening the Nation with Talent” to assist the exploitation and management of human resources. Overseas talents have recently become an important resource. How to scientifically evaluate and classify overseas talents has become an important research topic, and it is necessary to seek a systematic decision aid. This paper introduces a novel methodology to evaluate and classify overseas talents in China under the intuitionistic relations environment. Firstly, we determine the weighted values of decision makers and criteria through defining geometry consistency. Secondly, we construct a non-linear Best-Worst-Method (BWM) model with intuitionistic preference relations. A highlight of this BWM model for intuitionistic relations is taking both positive and negative aspects into consideration, which is different from the original BWM. Finally, the proposed methodology is applied to an illustrative example of overseas talent evaluation, indicating the simultaneous efficiency and practicability of the method.

From a systems-thinking perspective, firms can be understood as adaptive socio-technical systems in which strategic resource allocation, innovation activities, organizational capabilities, and environmental conditions interact through dynamic feedback processes. This study examines whether strategic focus alternation, defined as the recurrent reallocation of resources between technology focus and market focus, is associated with firm resilience. Using 30,930 firm-year observations of Chinese A-share listed firms from 2010 to 2024, we construct a firm-level measure of strategic focus alternation and examine its association with resilience using industry and year fixed-effects models, complemented by multiple robustness analyses, propensity score matching, instrumental-variable estimation, Heckman two-stage estimation, and within-firm analyses. The results indicate that strategic focus alternation is positively associated with firm resilience, although the magnitude of this association is economically modest, suggesting that strategic focus alternation represents one contributing element within a broader organizational resilience system rather than a dominant managerial determinant. Strategic focus alternation is also positively associated with persistent innovation and ambidextrous innovation synergy; however, mediation analyses do not support these innovation outcomes as statistically significant transmission mechanisms linking strategic focus alternation to resilience. Furthermore, while the capability to undertake strategic focus alternation is positively associated with resilience across firms, greater within-firm alternation intensity, measured by switching frequency and magnitude, does not generate additional resilience benefits and is marginally negatively associated with resilience, indicating potential coordination and adjustment costs. Entrepreneurial orientation and knowledge integration capability further strengthen the positive association between strategic focus alternation and resilience. Finally, the findings suggest that organizational resilience depends less on frequent strategic switching than on disciplined strategic reconfiguration that maintains dynamic stability while enabling organizational adaptation under uncertainty. By integrating systems thinking with research on strategic resource allocation, organizational resilience, and innovation, this study provides a more comprehensive understanding of how firms balance strategic flexibility and organizational stability in dynamic environments.

Let P be a planar point set with no three points collinear, k points of P be a k-hole of P if the k points are the vertices of a convex polygon without points of P. This article proves 13 is the smallest integer such that any planar points set containing at least 13 points with no three points collinear, contains a 3-hole, a 4-hole and a 5-hole which are pairwise disjoint.

In this article, we transform intuitionsitic multiplicative preference relation into interval fuzzy preference relation and propose the concept of geometric index based on multiplicative and fuzzy aspects. In order to deal with the incomplete group decision making problems, we give a simple method to calculate the missing values and weight values with respect to the geometric consistency degree. Depending on these studies, we introduce a novel approach to group decision making with incomplete information. An illustrative numerical example is followed to demonstrate.