• Journal of the Korean Operations Research and Management Science Society
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• v.23 no.3
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• pp.63-73
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• 1998

The paper deals with interactive multiple criteria decision making procedure when decision maker (DM) specifies her or his preference in incomplete ways. Usually DM is willing or able to provide only incomplete information, because of time pressure and lack of knowledge or data. Under incomplete information on utility and attribute weight, the pairwise dominance checks result in strict or weak dominance values. Considering only strict dominance values sometimes fails to Prioritize alternatives because of fuzziness of preference information. Further there exists some information loss useful if used, otherwise. In this paper, we consider the outranking concept which implies the willingness of DM's taking some risk under the least favorable situation because she has enough reasons to admit the results. By comparing the magnitude of net preference degree of alternatives which is defined by difference between outrankings and outranked degree of each alternative, we can prioritize alternatives.

• Management Science and Financial Engineering
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• v.17 no.2
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• pp.63-84
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• 2011

The ordinary multiple criteria decision making (MCDM) approach requires two types of input, alternative values and criterion weights, and employs two schemes of alternative prioritization, dominance and potential optimality. This paper allows for incomplete information on both types of input and gives rise to the dominance relationships and potential optimality of alternatives. Unlike the earlier studies, we emphasize that incomplete information frequently takes the form of strict inequalities, such as strict orders and strict bounds, rather than weak inequalities. Then the issues of rising importance include: (1) The standard mathematical programming approach to prioritize alternatives cannot be used directly, because the feasible region for the permissible decision parameters becomes an open set. (2) We show that the earlier methods replacing the strict inequalities with weak ones, by employing a small positive number or zeroes, which closes the feasible set, may cause a serious problem and yield unacceptable prioritization results. Therefore, we address these important issues and develop a useful and simple method, without selecting any small value for the strict preference information. Given strict information on both types of decision parameters, we first construct a nonlinear program, transform it into a linear programming equivalent, and finally solve it via a two-stage method. An application is also demonstrated herein.

• IE interfaces
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• v.6 no.2
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• pp.151-169
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• 1993

In this research, we proposed "coefficient of inequality" as a measure of distributional inequality for an alternative, which is defined as the area between the diagonal line from 0 to 1 and the Lorenz curve of the given alternative. Next, we showed theoretical relationship between stochastic dominance and the coefficient of inequality as a means to determine the preferred alternative when decision is made with incomplete information about decision maker's utility function. Then, two experiments were performed to test subject‘s attitude toward risk. The results of the experiments support the idea that when a decision maker is risk averse or risk prone, he/she can use the coefficient of inequality as a decision rule to choose the preferred alternative instead of using stochastic dominance. Thus, according to decision maker’s attitude toward risk, the decision rule proposed here can be used as a valuable aid in decision making under uncertainty with incomplete information.

• Journal of the Korean Operations Research and Management Science Society
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• v.18 no.2
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• pp.45-55
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• 1993

In multiattribute decision making a decision maker (DM) can choose the best alternative if his/her multiattribute utility function and the joint probability distribution of outcomes are exactly known. This paper develops multiattribute stochastic-statistical dominance rules which can be applied to the situation when neither of them is known exactly, that is, when the DM cannot calculate the expected utility for each alternative. First, the notion of relative risk aversion is used dominance rules are developed to screen out dominated alternatives so that hi/she choose the best one among the remaining nondominated alternatives.

• Journal of the Korean Society of Tobacco Science
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• v.4 no.1
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• pp.15-20
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• 1982

This experiment was carried out to investigate the degrees and directions of dominance, and gene distributions by analysing diallel crosses of oriental varieties. The analysis of Wr-Vr indicated non-allelic gene interaction for days to (lowering and number of leaves. Five Plant characteristics showed different degrees of dominance : incomplete dominance for Plant height and leaf shape, over dominance for , wield and sugar, and complete dominance for nicotine. It was shown that additive genetic variance was predominant for plant height, leaf shape, and total sugar. More number of dominant genes were present in Kavala and canthi for Plant height; Basma, Samsun and Izmir for leaf shape ; and Basma and Samsun (or nicotine. Their directions of dominance were tall height, narrow leaves, and low nicotine, respectively.

• KOREAN JOURNAL OF CROP SCIENCE
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• v.43 no.3
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• pp.135-140
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• 1998

Diallel analysis was conducted with FI's derived from crossing in all combinations without reciprocals among six rice varieties; three tropical japonica and three temperate japonica varieties, with different traits associated with panicle and flag leaf. Epistasis was observed in the number of primary branches (PB) per panicle and of spikelets per panicle, while flag leaf length, flag leaf color, PB length and neck node thickness were explained with the additive-dominance model. The estimated genetic mode of flag leaf length and PB length was a positive complete dominance model with high heritability, and that of flag leaf color and neck node thickness was an incomplete dominance model. In particular, tropical japonica varieties with low-tillering and heavy-panicle appear to have higher number of dominant genes for flag leaf length and PB length than temperate japonica varieties.

• Journal of Korean Society of Forest Science
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• v.51 no.1
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• pp.1-21
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• 1981

Populus glandulosa and Populus tomentiglandulosa, which were known to be natural hybrids, were examined for morphological, physiological and karyological traits to illucidate its hybridity and taxonomical importance. The results abtained were as follows; 1. Survival rate in rooting of cuttings and grafting was different between the hybrids and their rooting abilities showed incomplete dominance. 2. Their leaf openings showed incomplete dominance. The leaf longevities of P. alba ${\times}$ glandulosa and P. tomentiglandulosa were stronger than the other hybrids. 3. There were differences in resistance to toxicity of $KClO_3$ between the hybrids. 4. Many external leaf characters of the hybrids also showed incomplete dominance. P. tomentiglandulosa was similar in those characters to P. alba ${\times}$ glandulosa while P. glandulosa was similar to hybrids crossed, reciprocally crossed or back-crossed between P. davidiana and P. alba. 5. Their numbers of male flower showed incomplete dominance or hybrid vigor. The numbers of P. tomentiglandulosa were similar to thosa of P. alba ${\times}$ glandulosa while those of P. glandulosa to those of P. alba ${\times}$ davidiana or P. davidiana ${\times}$ alba. 6. Morphology and band color of male catkin bract showed incomplete dominance. Those of P. glandulosa were similar to those of P. alba ${\times}$ davidiana while those of P. tomentiglandulosa to those of. P. alba ${\times}$ glandulosa. 7. There were differences in vascular bundle number and arrangement of petiole between the hybrids. 8. Differences in the anatomical traits of stem did not exist between the hybrids but those in wood fiber size existed. 9. The chromosomes of artificial hybrids, P. glandulosa and P. tomentiglandulosa showed irregular behavior in metaphase I and II. 10. All hybrids including P. glandulosa and P. tomentiglandulosa showed small number of P.M.C. with 19 II but many univalent chromosomes were exhibited in metaphase I. 11. All hybrids including P. glandulosa and P. tomentiglandulosa showed a little abnormal nuclear plates as laggard chromosome and chromosome bridge in anaphase I and II. 12. The frequency of pollen tetrad and fertile pollen was low in most of the hybrids including P. glandulosa and P. tomentiglandulosa.

• Journal of Life Science
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• v.15 no.1 s.68
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• pp.132-135
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• 2005

This experiment was performed to obtain the basic information on heterosis and heterobeltiosis of quantitative characters in the eggplant by crossing of varieties. The heterosis and heterobeltiosis were estimated in Fl generation. The results were as follows, based on the graphical analysis, the characters, plant height, stem diameter, fruit weight, leaf length, leaf width, and fruit number per plant(yield) were assumed to inherit dominance, and fruit length and fruit diameter were found to inherit incomplete dominance. The degree of positive heterosis of plant height, stem diameter, fruit weight, fruit length, fruit diameter, leaf length, leaf width, and fruit diameter, leaf width, leaf length, fruit weight, and stem diameter showed negative heterobeltiosis.

• Journal of Sericultural and Entomological Science
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• v.38 no.2
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• pp.113-117
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• 1996

To analyze the mode of inheritance of this gene in Fb strain, carried out cross experiment between Fb and several Japanese and Chinese origin strains. The results of crossing experiments, feeding ratio in F1 hybrids were nearly the mid of parents, F2 and backcrossed hybrids(BF1) were approximately intermediate between Fb and other strains. Hence, the feeding habit of cabbage leaves on Fb strain is assume to be incomplete dominance.

• Journal of Life Science
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• v.12 no.2
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• pp.213-218
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• 2002

The experiment was conducted to get basic information for cotton breeding program through four-variety diallel cross population. Additive, dominant, maternal, and reciprocal effect were observed significantly for days to maturity. Based on the Vr-Wr graphical analysis, the characters, number of bolls per plant, boll weight, seed and lint weight per boll, lint weight per boll, width of seed, 100-seed weight, days to flowering, and days to maturity were found to inherit incomplete dominance, and the characters of number of bolls per plant, width of seed, number of seeds per boll, and length of seed were assumed to inherit over dominance. The component of genetic variance analysis for boll weight, seed and lint weight per boll, lint weight per boll, number of seeds per boll, length of seed, and days to flowering showed that additive effects were higher than dominant effects. The narrow-sense heritability(h$_2$N) for boll weight, seed and lint weight per boll, lint weight per boll, days to flowering, and days to maturity showed high values as more than 43.19%. The estimate of broad-sense heritability(h$_2$B) value was higher than that of h$_2$N because of the low importance of dominance effects.