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Fermatean fuzzy sets (FFSs) have piqued the interest of researchers in a wide range of domains. The striking framework of the FFS is keen to provide the larger preference domain for the modeling of ambiguous information deploying the degrees of membership and nonmembership. Furthermore, FFSs prevail over the theories of intuitionistic fuzzy sets and Pythagorean fuzzy sets owing to their broader space, adjustable parameter, flexible structure, and influential design. The information measures, being a significant part of the literature, are crucial and beneficial tools that are widely applied in decision-making, data mining, medical diagnosis, and pattern recognition. This paper aims to expand the literature on FFSs by proposing many innovative Fermatean fuzzy sets-based information measures, namely, distance measure, similarity measure, entropy measure, and inclusion measure. We investigate the relationship between distance, similarity, entropy, and inclusion measures for FFSs. Another achievement of this research is to establish a systematic transformation of information measures (distance measure, similarity measure, entropy measure, and inclusion measure) for the FFSs. To accomplish this aim, new formulae for information measures of FFSs have been presented. To demonstrate the validity of the measures, we employ them in pattern recognition, building materials, and medical diagnosis. Additionally, a comparison between traditional and novel similarity measures is described in terms of counter-intuitive cases. The findings demonstrate that the innovative information measures do not include any absurd cases. [ABSTRACT FROM AUTHOR]

In this article, the effects of damage (delamination) on the structural vibration characteristics of spar wingskin joints (SWJs) made with curved laminated composites are investigated. Three dimensional finite element analysis is employed to evaluate the natural frequencies and corresponding mode shapes of the joint structure considered. Virtual elements are implemented in the delamination region to prevent inter element penetration. The effectiveness of the finite element analysis technique used is validated with available results. Additionally, the effects of various parameters such as delamination size, curvature effect (shallowness angle), laminate stacking sequence, overlap length, and material anisotropy (modular ratio) on the free vibration responses of the curved SWJ are analyzed in details. The present delamination modeling and simulated results could serve as guidelines in designing curved laminated composite joint structures with/without delaminations. [ABSTRACT FROM AUTHOR]

This experiment was conducted at Mandouri farm, Horticultural Research Station, Bidhan Chandra Krishi Viswavidyala (BCKV), West Bengal, India during March, 2014 to July, 2018. The objectives of the research were to determine genetic variability, phenotypic performance and diversity for yield and 17 yield attributing traits of the 45 sponge gourd germplasm. To study the heterosis and combining ability of parental lines with half diallel analysis for earliness and yield contributing characters. PCV (phenotypic coefficient of variation) was higher than GCV (genotypic coefficient of variation) for all the traits studied. Higher PCV and GCV were recorded for traits namely number of primary branches plant-1, number of fruiting nodes on main stem, sex ratio (male/female), fruits plant-1 and fruit yield plant-1. Based on Mahalanobis' D2 statistic, the genotypes of sponge gourd were grouped into 7 different clusters. Fruit yield plant-1, weight of fruit and number of fruiting nodes on main stem had maximum contribution towards genetic divergence. Among the parents, Patna Local, IC-336759 and IC-284795 showed high significant positive GCA effects as well as per se performance for yield and yield related attributes. Additive as well as non-additive gene action regulating the different traits. The traits under non additive gene action. The magnitude of standard heterosis was found in desirable direction for early and yield traits viz., days to first pistillate flower appearance in the cross IC284795×Patna Loca (-23.07%), for 50% flowering in the cross IC-284795×Patna Local (-18.89%), sex ratio in the cross IC-336759×Patna Local (-53.41%), for number of fruit vine-1 in the cross IC-284795×Patna Local (34.56%) and average fruit weight in the cross IC336759×Patna Local (110.09%). Promising germplasm Patna Local may be subjected for regional yield trail along with released variety with a view to develop new variety of sponge gourd. The superior hybrids can be exploited for hybridization programme. [ABSTRACT FROM AUTHOR]